31300414000 has 80 divisors (see below), whose sum is σ = 75902954400. Its totient is φ = 12484012800.

The previous prime is 31300413973. The next prime is 31300414021. The reversal of 31300414000 is 41400313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675579 + ... + 720421.

It is an arithmetic number, because the mean of its divisors is an integer number (948786930).

Almost surely, 2^31300414000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31300414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37951477200).

31300414000 is an abundant number, since it is smaller than the sum of its proper divisors (44602540400).

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

31300414000 is a wasteful number, since it uses less digits than its factorization.

31300414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45215 (or 45199 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31300414000 its reverse (41400313), we get a palindrome (31341814313).

The spelling of 31300414000 in words is "thirty-one billion, three hundred million, four hundred fourteen thousand".