31005406000 has 80 divisors (see below), whose sum is σ = 75405271968. Its totient is φ = 12330336000.

The previous prime is 31005405973. The next prime is 31005406067. The reversal of 31005406000 is 60450013.

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

It is a super-2 number, since 2×31005406000² (a number of 22 digits) contains 22 as substring.

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, 301195 + ... + 390805.

Almost surely, 2^31005406000 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 31005406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37702635984).

31005406000 is an abundant number, since it is smaller than the sum of its proper divisors (44399865968).

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

31005406000 is a wasteful number, since it uses less digits than its factorization.

31005406000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89807 (or 89791 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 31005406000 its reverse (60450013), we get a palindrome (31065856013).

The spelling of 31005406000 in words is "thirty-one billion, five million, four hundred six thousand".