42164252464400 has 360 divisors, whose sum is σ = 114476468057952. Its totient is φ = 14904755712000.

The previous prime is 42164252464361. The next prime is 42164252464421. The reversal of 42164252464400 is 446425246124.

It is a happy number.

It is a super-2 number, since 2×42164252464400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 439085192 + ... + 439181208.

Almost surely, 2^{42164252464400} is an apocalyptic number.

42164252464400 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 42164252464400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57238234028976).

42164252464400 is an abundant number, since it is smaller than the sum of its proper divisors (72312215593552).

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

42164252464400 is a wasteful number, since it uses less digits than its factorization.

42164252464400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96311 (or 96289 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 44.

The spelling of 42164252464400 in words is "forty-two trillion, one hundred sixty-four billion, two hundred fifty-two million, four hundred sixty-four thousand, four hundred".