31442411520 has 616 divisors, whose sum is σ = 121891682556. Its totient is φ = 7739670528.

The previous prime is 31442411449. The next prime is 31442411537. The reversal of 31442411520 is 2511424413.

31442411520 is a `hidden beast` number, since 31 + 442 + 41 + 152 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 29265629184 + 2176782336 = 171072^2 + 46656^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 2418647034 + ... + 2418647046.

Almost surely, 2^31442411520 is an apocalyptic number.

31442411520 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 31442411520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60945841278).

31442411520 is an abundant number, since it is smaller than the sum of its proper divisors (90449271036).

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

31442411520 is an frugal number, since it uses more digits than its factorization.

31442411520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 31442411520 its reverse (2511424413), we get a palindrome (33953835933).

The spelling of 31442411520 in words is "thirty-one billion, four hundred forty-two million, four hundred eleven thousand, five hundred twenty".