402114321252 has 288 divisors, whose sum is σ = 1200606511104. Its totient is φ = 111094156800.

The previous prime is 402114321241. The next prime is 402114321253. The reversal of 402114321252 is 252123411204.

402114321252 is a `hidden beast` number, since 4 + 0 + 211 + 432 + 12 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (402114321253) 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 95 ways as a sum of consecutive naturals, for example, 1049906653 + ... + 1049907035.

It is an arithmetic number, because the mean of its divisors is an integer number (4168772608).

Almost surely, 2^402114321252 is an apocalyptic number.

402114321252 is a gapful number since it is divisible by the number (42) 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 402114321252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600303255552).

402114321252 is an abundant number, since it is smaller than the sum of its proper divisors (798492189852).

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

402114321252 is a wasteful number, since it uses less digits than its factorization.

402114321252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 402114321252 its reverse (252123411204), we get a palindrome (654237732456).

The spelling of 402114321252 in words is "four hundred two billion, one hundred fourteen million, three hundred twenty-one thousand, two hundred fifty-two".