46122630400 has 432 divisors, whose sum is σ = 143417570688. Its totient is φ = 14266368000.

The previous prime is 46122630391. The next prime is 46122630427. The reversal of 46122630400 is 403622164.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85254130 + ... + 85254670.

Almost surely, 2^46122630400 is an apocalyptic number.

46122630400 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 46122630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71708785344).

46122630400 is an abundant number, since it is smaller than the sum of its proper divisors (97294940288).

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

46122630400 is a wasteful number, since it uses less digits than its factorization.

46122630400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 46122630400 in words is "forty-six billion, one hundred twenty-two million, six hundred thirty thousand, four hundred".