31444400400 has 120 divisors (see below), whose sum is σ = 115116483264. Its totient is φ = 7187289600.

The previous prime is 31444400347. The next prime is 31444400411. The reversal of 31444400400 is 400444413.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1863291 + ... + 1880090.

Almost surely, 2^31444400400 is an apocalyptic number.

31444400400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31444400400 is an abundant number, since it is smaller than the sum of its proper divisors (83672082864).

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

31444400400 is a wasteful number, since it uses less digits than its factorization.

31444400400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3743409 (or 3743398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 31444400400 its reverse (400444413), we get a palindrome (31844844813).

The spelling of 31444400400 in words is "thirty-one billion, four hundred forty-four million, four hundred thousand, four hundred".