31049408400 has 240 divisors, whose sum is σ = 102454900800. Its totient is φ = 8032020480.

The previous prime is 31049408399. The next prime is 31049408431. The reversal of 31049408400 is 480494013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18602766 + ... + 18604434.

It is an arithmetic number, because the mean of its divisors is an integer number (426895420).

Almost surely, 2^31049408400 is an apocalyptic number.

31049408400 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 31049408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51227450400).

31049408400 is an abundant number, since it is smaller than the sum of its proper divisors (71405492400).

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

31049408400 is a wasteful number, since it uses less digits than its factorization.

31049408400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 31049408400 in words is "thirty-one billion, forty-nine million, four hundred eight thousand, four hundred".