31404132000 has 384 divisors, whose sum is σ = 115482931200. Its totient is φ = 8288640000.

The previous prime is 31404131981. The next prime is 31404132013. The reversal of 31404132000 is 23140413.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 10906561 + ... + 10909439.

It is an arithmetic number, because the mean of its divisors is an integer number (300736800).

Almost surely, 2^31404132000 is an apocalyptic number.

31404132000 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 31404132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57741465600).

31404132000 is an abundant number, since it is smaller than the sum of its proper divisors (84078799200).

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

31404132000 is a wasteful number, since it uses less digits than its factorization.

31404132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3014 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 31404132000 its reverse (23140413), we get a palindrome (31427272413).

It can be divided in two parts, 3140413 and 2000, that added together give a palindrome (3142413).

The spelling of 31404132000 in words is "thirty-one billion, four hundred four million, one hundred thirty-two thousand".