46411729920 has 880 divisors, whose sum is σ = 182971340640. Its totient is φ = 11197218816.

The previous prime is 46411729919. The next prime is 46411729943. The reversal of 46411729920 is 2992711464.

46411729920 is a `hidden beast` number, since 464 + 11 + 72 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204456847 + ... + 204457073.

It is an arithmetic number, because the mean of its divisors is an integer number (207921978).

Almost surely, 2^46411729920 is an apocalyptic number.

46411729920 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 46411729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91485670320).

46411729920 is an abundant number, since it is smaller than the sum of its proper divisors (136559610720).

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

46411729920 is a wasteful number, since it uses less digits than its factorization.

46411729920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 46411729920 in words is "forty-six billion, four hundred eleven million, seven hundred twenty-nine thousand, nine hundred twenty".