31474142990640 has 480 divisors, whose sum is σ = 128225794559616. Its totient is φ = 6754015641600.

The previous prime is 31474142990599. The next prime is 31474142990663. The reversal of 31474142990640 is 4609924147413.

It is a happy number.

31474142990640 is a `hidden beast` number, since 3 + 1 + 4 + 74 + 1 + 429 + 90 + 64 + 0 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 33899644 + ... + 34815716.

Almost surely, 2^{31474142990640} is an apocalyptic number.

31474142990640 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 31474142990640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64112897279808).

31474142990640 is an abundant number, since it is smaller than the sum of its proper divisors (96751651568976).

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

31474142990640 is a wasteful number, since it uses less digits than its factorization.

31474142990640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916517 (or 916508 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 31474142990640 in words is "thirty-one trillion, four hundred seventy-four billion, one hundred forty-two million, nine hundred ninety thousand, six hundred forty".