31045546440 has 192 divisors, whose sum is σ = 104330903040. Its totient is φ = 7998059520.

The previous prime is 31045546439. The next prime is 31045546447. The reversal of 31045546440 is 4464554013.

31045546440 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 5 + 5 + 4 + 644 + 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 = 31045546395 and 31045546404.

It is not an unprimeable number, because it can be changed into a prime (31045546447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7620244 + ... + 7624316.

It is an arithmetic number, because the mean of its divisors is an integer number (543390120).

Almost surely, 2^31045546440 is an apocalyptic number.

31045546440 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 31045546440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52165451520).

31045546440 is an abundant number, since it is smaller than the sum of its proper divisors (73285356600).

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

31045546440 is a wasteful number, since it uses less digits than its factorization.

31045546440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 31045546440 in words is "thirty-one billion, forty-five million, five hundred forty-six thousand, four hundred forty".