46941638400 has 1080 divisors, whose sum is σ = 188425273344. Its totient is φ = 11496038400.

The previous prime is 46941638353. The next prime is 46941638411. The reversal of 46941638400 is 483614964.

46941638400 is a `hidden beast` number, since 4 + 6 + 9 + 4 + 1 + 638 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-3 number, since 3×46941638400³ (a number of 33 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 369619137 + ... + 369619263.

Almost surely, 2^46941638400 is an apocalyptic number.

46941638400 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 46941638400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94212636672).

46941638400 is an abundant number, since it is smaller than the sum of its proper divisors (141483634944).

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

46941638400 is a wasteful number, since it uses less digits than its factorization.

46941638400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 46941638400 in words is "forty-six billion, nine hundred forty-one million, six hundred thirty-eight thousand, four hundred".