46501421400 has 432 divisors, whose sum is σ = 183019145400. Its totient is φ = 10549647360.

The previous prime is 46501421333. The next prime is 46501421411. The reversal of 46501421400 is 412410564.

46501421400 is a `hidden beast` number, since 4 + 650 + 1 + 4 + 2 + 1 + 4 + 0 + 0 = 666.

46501421400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12257904 + ... + 12261696.

Almost surely, 2^46501421400 is an apocalyptic number.

46501421400 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 46501421400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91509572700).

46501421400 is an abundant number, since it is smaller than the sum of its proper divisors (136517724000).

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

46501421400 is a wasteful number, since it uses less digits than its factorization.

46501421400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3968 (or 3949 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 46501421400 its reverse (412410564), we get a palindrome (46913831964).

The spelling of 46501421400 in words is "forty-six billion, five hundred one million, four hundred twenty-one thousand, four hundred".