46279969142400 has 1536 divisors, whose sum is σ = 210329966592000. Its totient is φ = 9698177433600.

The previous prime is 46279969142399. The next prime is 46279969142413. The reversal of 46279969142400 is 424196997264.

46279969142400 is a `hidden beast` number, since 4 + 6 + 27 + 9 + 9 + 69 + 142 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 356162242 + ... + 356292158.

It is an arithmetic number, because the mean of its divisors is an integer number (136933572000).

Almost surely, 2^{46279969142400} is an apocalyptic number.

46279969142400 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 46279969142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105164983296000).

46279969142400 is an abundant number, since it is smaller than the sum of its proper divisors (164049997449600).

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

46279969142400 is a wasteful number, since it uses less digits than its factorization.

46279969142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130007 (or 129984 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 46279969142400 in words is "forty-six trillion, two hundred seventy-nine billion, nine hundred sixty-nine million, one hundred forty-two thousand, four hundred".