46951130400 has 144 divisors (see below), whose sum is σ = 161815830624. Its totient is φ = 11783802880.

The previous prime is 46951130371. The next prime is 46951130407. The reversal of 46951130400 is 403115964.

It is a super-3 number, since 3×46951130400³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46951130407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 534582 + ... + 616181.

It is an arithmetic number, because the mean of its divisors is an integer number (1123721046).

Almost surely, 2^46951130400 is an apocalyptic number.

46951130400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46951130400 is an abundant number, since it is smaller than the sum of its proper divisors (114864700224).

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

46951130400 is a wasteful number, since it uses less digits than its factorization.

46951130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150803 (or 1150790 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 46951130400 in words is "forty-six billion, nine hundred fifty-one million, one hundred thirty thousand, four hundred".