46496424038400 has 3744 divisors, whose sum is σ = 208220095283200. Its totient is φ = 10061571686400.

The previous prime is 46496424038329. The next prime is 46496424038401. The reversal of 46496424038400 is 483042469464.

It is a happy number.

46496424038400 is a `hidden beast` number, since 4 + 6 + 496 + 42 + 40 + 38 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46496424038401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 426572697546 + ... + 426572697654.

Almost surely, 2^{46496424038400} is an apocalyptic number.

46496424038400 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 46496424038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104110047641600).

46496424038400 is an abundant number, since it is smaller than the sum of its proper divisors (161723671244800).

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

46496424038400 is a wasteful number, since it uses less digits than its factorization.

46496424038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 46496424038400 in words is "forty-six trillion, four hundred ninety-six billion, four hundred twenty-four million, thirty-eight thousand, four hundred".