402253200498240 has 3360 divisors, whose sum is σ = 1879994944396800. Its totient is φ = 80972269830144.

The previous prime is 402253200498239. The next prime is 402253200498241. The reversal of 402253200498240 is 42894002352204.

402253200498240 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 532 + 0 + 0 + 4 + 98 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (402253200498239) and next prime (402253200498241).

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×402253200498240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (402253200498241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1034069923966 + ... + 1034069924354.

It is an arithmetic number, because the mean of its divisors is an integer number (559522304880).

Almost surely, 2^{402253200498240} is an apocalyptic number.

402253200498240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402253200498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939997472198400).

402253200498240 is an abundant number, since it is smaller than the sum of its proper divisors (1477741743898560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402253200498240 is an equidigital number, since it uses as much as digits as its factorization.

402253200498240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 402253200498240 in words is "four hundred two trillion, two hundred fifty-three billion, two hundred million, four hundred ninety-eight thousand, two hundred forty".