402257253142080 has 672 divisors, whose sum is σ = 1696364625795840. Its totient is φ = 88774011002880.

The previous prime is 402257253142039. The next prime is 402257253142097. The reversal of 402257253142080 is 80241352752204.

402257253142080 is a `hidden beast` number, since 4 + 0 + 2 + 2 + 5 + 72 + 531 + 42 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×402257253142080² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3043750 + ... + 28526810.

It is an arithmetic number, because the mean of its divisors is an integer number (2524352121720).

Almost surely, 2^{402257253142080} is an apocalyptic number.

402257253142080 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 402257253142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848182312897920).

402257253142080 is an abundant number, since it is smaller than the sum of its proper divisors (1294107372653760).

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

402257253142080 is a wasteful number, since it uses less digits than its factorization.

402257253142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25483129 (or 25483107 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 402257253142080 in words is "four hundred two trillion, two hundred fifty-seven billion, two hundred fifty-three million, one hundred forty-two thousand, eighty".