31218112880640 has 1344 divisors, whose sum is σ = 129416208869376. Its totient is φ = 6806134849536.

The previous prime is 31218112880627. The next prime is 31218112880657. The reversal of 31218112880640 is 4608821181213.

31218112880640 is a `hidden beast` number, since 312 + 1 + 8 + 11 + 288 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 95 ways as a sum of consecutive naturals, for example, 35195166277 + ... + 35195167163.

Almost surely, 2^{31218112880640} is an apocalyptic number.

31218112880640 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 31218112880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64708104434688).

31218112880640 is an abundant number, since it is smaller than the sum of its proper divisors (98198095988736).

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

31218112880640 is a wasteful number, since it uses less digits than its factorization.

31218112880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The spelling of 31218112880640 in words is "thirty-one trillion, two hundred eighteen billion, one hundred twelve million, eight hundred eighty thousand, six hundred forty".