31442144400 has 90 divisors (see below), whose sum is σ = 109112987490. Its totient is φ = 8384570880.

The previous prime is 31442144381. The next prime is 31442144401. The reversal of 31442144400 is 444124413.

31442144400 is a `hidden beast` number, since 3 + 1 + 4 + 4 + 214 + 440 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 257409936 + 31184734464 = 16044^2 + 176592^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (31442144401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4363365 + ... + 4370564.

Almost surely, 2^31442144400 is an apocalyptic number.

31442144400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31442144400 is an abundant number, since it is smaller than the sum of its proper divisors (77670843090).

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

31442144400 is a wasteful number, since it uses less digits than its factorization.

31442144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8733953 (or 8733939 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31442144400 its reverse (444124413), we get a palindrome (31886268813).

The spelling of 31442144400 in words is "thirty-one billion, four hundred forty-two million, one hundred forty-four thousand, four hundred".