402410152872 has 1024 divisors, whose sum is σ = 1475905536000. Its totient is φ = 98761420800.

The previous prime is 402410152841. The next prime is 402410152873. The reversal of 402410152872 is 278251014204.

402410152872 is a `hidden beast` number, since 4 + 0 + 24 + 101 + 528 + 7 + 2 = 666.

It is a super-2 number, since 2×402410152872² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (402410152873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2468773863 + ... + 2468774025.

It is an arithmetic number, because the mean of its divisors is an integer number (1441314000).

Almost surely, 2^402410152872 is an apocalyptic number.

402410152872 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 402410152872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737952768000).

402410152872 is an abundant number, since it is smaller than the sum of its proper divisors (1073495383128).

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

402410152872 is a wasteful number, since it uses less digits than its factorization.

402410152872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 402410152872 in words is "four hundred two billion, four hundred ten million, one hundred fifty-two thousand, eight hundred seventy-two".