31801441440 has 48 divisors (see below), whose sum is σ = 100174542048. Its totient is φ = 8480384256.

The previous prime is 31801441439. The next prime is 31801441447. The reversal of 31801441440 is 4414410813.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×31801441440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31801441398 and 31801441407.

It is not an unprimeable number, because it can be changed into a prime (31801441447) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33126022 + ... + 33126981.

It is an arithmetic number, because the mean of its divisors is an integer number (2086969626).

Almost surely, 2^31801441440 is an apocalyptic number.

31801441440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31801441440 is an abundant number, since it is smaller than the sum of its proper divisors (68373100608).

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

31801441440 is a wasteful number, since it uses less digits than its factorization.

31801441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66253021 (or 66253013 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 31801441440 in words is "thirty-one billion, eight hundred one million, four hundred forty-one thousand, four hundred forty".