31449415680 has 480 divisors, whose sum is σ = 115158700800. Its totient is φ = 7927234560.

The previous prime is 31449415667. The next prime is 31449415681. The reversal of 31449415680 is 8651494413.

31449415680 is a `hidden beast` number, since 3 + 1 + 4 + 49 + 41 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×31449415680² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (31449415681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 731381739 + ... + 731381781.

It is an arithmetic number, because the mean of its divisors is an integer number (239913960).

Almost surely, 2^31449415680 is an apocalyptic number.

31449415680 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 31449415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57579350400).

31449415680 is an abundant number, since it is smaller than the sum of its proper divisors (83709285120).

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

31449415680 is an frugal number, since it uses more digits than its factorization.

31449415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 31449415680 in words is "thirty-one billion, four hundred forty-nine million, four hundred fifteen thousand, six hundred eighty".