31494978240 has 896 divisors, whose sum is σ = 121350389760. Its totient is φ = 6839500800.

The previous prime is 31494978239. The next prime is 31494978337. The reversal of 31494978240 is 4287949413.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 353876116 + ... + 353876204.

Almost surely, 2^31494978240 is an apocalyptic number.

31494978240 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 31494978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60675194880).

31494978240 is an abundant number, since it is smaller than the sum of its proper divisors (89855411520).

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

31494978240 is a wasteful number, since it uses less digits than its factorization.

31494978240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 31494978240 in words is "thirty-one billion, four hundred ninety-four million, nine hundred seventy-eight thousand, two hundred forty".