31449296640 has 432 divisors, whose sum is σ = 106893416448. Its totient is φ = 7870464000.

The previous prime is 31449296563. The next prime is 31449296651. The reversal of 31449296640 is 4669294413.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 31449296640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442947805 + ... + 442947875.

It is an arithmetic number, because the mean of its divisors is an integer number (247438464).

Almost surely, 2^31449296640 is an apocalyptic number.

31449296640 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 31449296640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53446708224).

31449296640 is an abundant number, since it is smaller than the sum of its proper divisors (75444119808).

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

31449296640 is an equidigital number, since it uses as much as digits as its factorization.

31449296640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 31449296640 in words is "thirty-one billion, four hundred forty-nine million, two hundred ninety-six thousand, six hundred forty".