46411402752 has 720 divisors, whose sum is σ = 167396108880. Its totient is φ = 12262440960.

The previous prime is 46411402673. The next prime is 46411402783. The reversal of 46411402752 is 25720411464.

46411402752 is a `hidden beast` number, since 4 + 641 + 1 + 4 + 0 + 2 + 7 + 5 + 2 = 666.

It is a super-3 number, since 3×46411402752³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 137719128 + ... + 137719464.

Almost surely, 2^46411402752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46411402752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83698054440).

46411402752 is an abundant number, since it is smaller than the sum of its proper divisors (120984706128).

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

46411402752 is a wasteful number, since it uses less digits than its factorization.

46411402752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 46411402752 in words is "forty-six billion, four hundred eleven million, four hundred two thousand, seven hundred fifty-two".