31425684480 has 352 divisors, whose sum is σ = 113603587200. Its totient is φ = 8236007424.

The previous prime is 31425684449. The next prime is 31425684523. The reversal of 31425684480 is 8448652413.

31425684480 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 568 + 4 + 4 + 80 = 666.

It is a super-3 number, since 3×31425684480³ (a number of 32 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154234 + ... + 8158086.

Almost surely, 2^31425684480 is an apocalyptic number.

31425684480 is a gapful number since it is divisible by the number (30) 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 31425684480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56801793600).

31425684480 is an abundant number, since it is smaller than the sum of its proper divisors (82177902720).

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

31425684480 is a wasteful number, since it uses less digits than its factorization.

31425684480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3946 (or 3922 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 31425684480 in words is "thirty-one billion, four hundred twenty-five million, six hundred eighty-four thousand, four hundred eighty".