31029972480 has 560 divisors, whose sum is σ = 120222305280. Its totient is φ = 7632175104.

The previous prime is 31029972469. The next prime is 31029972511. The reversal of 31029972480 is 8427992013.

31029972480 is a `hidden beast` number, since 3 + 10 + 2 + 99 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24260481 + ... + 24261759.

It is an arithmetic number, because the mean of its divisors is an integer number (214682688).

Almost surely, 2^31029972480 is an apocalyptic number.

31029972480 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 31029972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60111152640).

31029972480 is an abundant number, since it is smaller than the sum of its proper divisors (89192332800).

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

31029972480 is an equidigital number, since it uses as much as digits as its factorization.

31029972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 31029972480 in words is "thirty-one billion, twenty-nine million, nine hundred seventy-two thousand, four hundred eighty".