46061064724400 has 180 divisors, whose sum is σ = 124923898587936. Its totient is φ = 16296788851200.

The previous prime is 46061064724399. The next prime is 46061064724567. The reversal of 46061064724400 is 442746016064.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11069672 + ... + 14651271.

Almost surely, 2^{46061064724400} is an apocalyptic number.

46061064724400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46061064724400 is an abundant number, since it is smaller than the sum of its proper divisors (78862833863536).

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

46061064724400 is a wasteful number, since it uses less digits than its factorization.

46061064724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25721020 (or 25720998 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 44.

The spelling of 46061064724400 in words is "forty-six trillion, sixty-one billion, sixty-four million, seven hundred twenty-four thousand, four hundred".