31242101440 has 224 divisors, whose sum is σ = 84245281344. Its totient is φ = 10935336960.

The previous prime is 31242101431. The next prime is 31242101459. The reversal of 31242101440 is 4410124213.

It is a happy number.

It is a super-3 number, since 3×31242101440³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12632044 + ... + 12634516.

It is an arithmetic number, because the mean of its divisors is an integer number (376095006).

Almost surely, 2^31242101440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31242101440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42122640672).

31242101440 is an abundant number, since it is smaller than the sum of its proper divisors (53003179904).

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

31242101440 is a wasteful number, since it uses less digits than its factorization.

31242101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2635 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 31242101440 its reverse (4410124213), we get a palindrome (35652225653).

The spelling of 31242101440 in words is "thirty-one billion, two hundred forty-two million, one hundred one thousand, four hundred forty".