31375436040 has 192 divisors, whose sum is σ = 113356938240. Its totient is φ = 7474014720.

The previous prime is 31375435969. The next prime is 31375436051. The reversal of 31375436040 is 4063457313.

31375436040 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 5 + 43 + 604 + 0 = 666.

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 = 31375435986 and 31375436004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36949 + ... + 253211.

It is an arithmetic number, because the mean of its divisors is an integer number (590400720).

Almost surely, 2^31375436040 is an apocalyptic number.

31375436040 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 31375436040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56678469120).

31375436040 is an abundant number, since it is smaller than the sum of its proper divisors (81981502200).

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

31375436040 is a wasteful number, since it uses less digits than its factorization.

31375436040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216324 (or 216317 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 31375436040 in words is "thirty-one billion, three hundred seventy-five million, four hundred thirty-six thousand, forty".