31449939625440 has 1536 divisors, whose sum is σ = 131403202560000. Its totient is φ = 7020181260288.

The previous prime is 31449939625427. The next prime is 31449939625493. The reversal of 31449939625440 is 4452693994413.

It is a happy number.

31449939625440 is a `hidden beast` number, since 3 + 1 + 4 + 49 + 93 + 9 + 62 + 5 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 14250084817 + ... + 14250087023.

It is an arithmetic number, because the mean of its divisors is an integer number (85548960000).

Almost surely, 2^{31449939625440} is an apocalyptic number.

31449939625440 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 31449939625440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65701601280000).

31449939625440 is an abundant number, since it is smaller than the sum of its proper divisors (99953262934560).

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

31449939625440 is a wasteful number, since it uses less digits than its factorization.

31449939625440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 31449939625440 in words is "thirty-one trillion, four hundred forty-nine billion, nine hundred thirty-nine million, six hundred twenty-five thousand, four hundred forty".