31944095040 has 896 divisors, whose sum is σ = 129203988480. Its totient is φ = 6569164800.

The previous prime is 31944095023. The next prime is 31944095041. The reversal of 31944095040 is 4059044913.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 31944095040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31944095041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 96507675 + ... + 96508005.

It is an arithmetic number, because the mean of its divisors is an integer number (144200880).

Almost surely, 2^31944095040 is an apocalyptic number.

31944095040 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 31944095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64601994240).

31944095040 is an abundant number, since it is smaller than the sum of its proper divisors (97259893440).

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

31944095040 is a wasteful number, since it uses less digits than its factorization.

31944095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

It can be divided in two parts, 319440 and 95040, that multiplied together give a square (30359577600 = 174240²).

The spelling of 31944095040 in words is "thirty-one billion, nine hundred forty-four million, ninety-five thousand, forty".