46123803910400 has 216 divisors, whose sum is σ = 114486830498880. Its totient is φ = 18397365575680.

The previous prime is 46123803910337. The next prime is 46123803910433. The reversal of 46123803910400 is 401930832164.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3424434866 + ... + 3424448334.

It is an arithmetic number, because the mean of its divisors is an integer number (530031622680).

Almost surely, 2^{46123803910400} is an apocalyptic number.

46123803910400 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 46123803910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57243415249440).

46123803910400 is an abundant number, since it is smaller than the sum of its proper divisors (68363026588480).

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

46123803910400 is a wasteful number, since it uses less digits than its factorization.

46123803910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14969 (or 14950 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 46123803910400 in words is "forty-six trillion, one hundred twenty-three billion, eight hundred three million, nine hundred ten thousand, four hundred".