31445900041920 has 1344 divisors, whose sum is σ = 129607478525952. Its totient is φ = 6395977728000.

The previous prime is 31445900041903. The next prime is 31445900041939. The reversal of 31445900041920 is 2914000954413.

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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5137376460 + ... + 5137382580.

It is an arithmetic number, because the mean of its divisors is an integer number (96434135808).

Almost surely, 2^{31445900041920} is an apocalyptic number.

31445900041920 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 31445900041920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64803739262976).

31445900041920 is an abundant number, since it is smaller than the sum of its proper divisors (98161578484032).

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

31445900041920 is a wasteful number, since it uses less digits than its factorization.

31445900041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6453 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 31445900041920 in words is "thirty-one trillion, four hundred forty-five billion, nine hundred million, forty-one thousand, nine hundred twenty".