31950491040 has 576 divisors, whose sum is σ = 122520988800. Its totient is φ = 7772184576.

The previous prime is 31950491011. The next prime is 31950491047. The reversal of 31950491040 is 4019405913.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31950490986 and 31950491004.

It is not an unprimeable number, because it can be changed into a prime (31950491047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78118356 + ... + 78118764.

It is an arithmetic number, because the mean of its divisors is an integer number (212710050).

Almost surely, 2^31950491040 is an apocalyptic number.

31950491040 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 31950491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61260494400).

31950491040 is an abundant number, since it is smaller than the sum of its proper divisors (90570497760).

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

31950491040 is a wasteful number, since it uses less digits than its factorization.

31950491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Adding to 31950491040 its reverse (4019405913), we get a palindrome (35969896953).

The spelling of 31950491040 in words is "thirty-one billion, nine hundred fifty million, four hundred ninety-one thousand, forty".