31314431400 has 192 divisors, whose sum is σ = 111406500480. Its totient is φ = 7127654400.

The previous prime is 31314431339. The next prime is 31314431429. The reversal of 31314431400 is 413441313.

It is a super-2 number, since 2×31314431400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 996732 + ... + 1027668.

It is an arithmetic number, because the mean of its divisors is an integer number (580242190).

Almost surely, 2^31314431400 is an apocalyptic number.

31314431400 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 31314431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55703250240).

31314431400 is an abundant number, since it is smaller than the sum of its proper divisors (80092069080).

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

31314431400 is a wasteful number, since it uses less digits than its factorization.

31314431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31204 (or 31195 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31314431400 its reverse (413441313), we get a palindrome (31727872713).

The spelling of 31314431400 in words is "thirty-one billion, three hundred fourteen million, four hundred thirty-one thousand, four hundred".