31861140480 has 352 divisors, whose sum is σ = 121945521600. Its totient is φ = 7842299904.

The previous prime is 31861140431. The next prime is 31861140497. The reversal of 31861140480 is 8404116813.

It is a happy number.

31861140480 is a `hidden beast` number, since 31 + 8 + 6 + 1 + 140 + 480 = 666.

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

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, 1788256 + ... + 1805984.

Almost surely, 2^31861140480 is an apocalyptic number.

31861140480 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 31861140480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60972760800).

31861140480 is an abundant number, since it is smaller than the sum of its proper divisors (90084381120).

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

31861140480 is a wasteful number, since it uses less digits than its factorization.

31861140480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17776 (or 17752 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 31861140480 in words is "thirty-one billion, eight hundred sixty-one million, one hundred forty thousand, four hundred eighty".