31416900480 has 192 divisors, whose sum is σ = 123984712800. Its totient is φ = 7180996608.

The previous prime is 31416900433. The next prime is 31416900481. The reversal of 31416900480 is 8400961413.

31416900480 is a `hidden beast` number, since 3 + 14 + 169 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31416900481) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 349275 + ... + 429914.

Almost surely, 2^31416900480 is an apocalyptic number.

31416900480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31416900480 is an abundant number, since it is smaller than the sum of its proper divisors (92567812320).

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

31416900480 is a wasteful number, since it uses less digits than its factorization.

31416900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779221 (or 779206 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 31416900480 in words is "thirty-one billion, four hundred sixteen million, nine hundred thousand, four hundred eighty".