31448056640 has 448 divisors, whose sum is σ = 103822000128. Its totient is φ = 8753356800.

The previous prime is 31448056613. The next prime is 31448056643. The reversal of 31448056640 is 4665084413.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31448056643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9928337 + ... + 9931503.

It is an arithmetic number, because the mean of its divisors is an integer number (231745536).

Almost surely, 2^31448056640 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 31448056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51911000064).

31448056640 is an abundant number, since it is smaller than the sum of its proper divisors (72373943488).

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

31448056640 is a wasteful number, since it uses less digits than its factorization.

31448056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3246 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 41.

The spelling of 31448056640 in words is "thirty-one billion, four hundred forty-eight million, fifty-six thousand, six hundred forty".