31371848640 has 896 divisors, whose sum is σ = 126459325440. Its totient is φ = 7254835200.

The previous prime is 31371848621. The next prime is 31371848701. The reversal of 31371848640 is 4684817313.

It is a Cunningham number, because it is equal to 177121²-1.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 323421072 + ... + 323421168.

It is an arithmetic number, because the mean of its divisors is an integer number (141137640).

Almost surely, 2^31371848640 is an apocalyptic number.

31371848640 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 31371848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63229662720).

31371848640 is an abundant number, since it is smaller than the sum of its proper divisors (95087476800).

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

31371848640 is a wasteful number, since it uses less digits than its factorization.

31371848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 31371848640 in words is "thirty-one billion, three hundred seventy-one million, eight hundred forty-eight thousand, six hundred forty".