31040345980800 has 576 divisors, whose sum is σ = 119473206194160. Its totient is φ = 7628260147200.

The previous prime is 31040345980789. The next prime is 31040345980837. The reversal of 31040345980800 is 808954304013.

31040345980800 is a `hidden beast` number, since 3 + 1 + 0 + 40 + 3 + 459 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 230937615 + ... + 231071985.

Almost surely, 2^{31040345980800} is an apocalyptic number.

31040345980800 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 31040345980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59736603097080).

31040345980800 is an abundant number, since it is smaller than the sum of its proper divisors (88432860213360).

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

31040345980800 is a wasteful number, since it uses less digits than its factorization.

31040345980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135031 (or 135011 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 31040345980800 in words is "thirty-one trillion, forty billion, three hundred forty-five million, nine hundred eighty thousand, eight hundred".