31400853120 has 1024 divisors, whose sum is σ = 144216576000. Its totient is φ = 6270566400.

The previous prime is 31400853097. The next prime is 31400853137. The reversal of 31400853120 is 2135800413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29876595 + ... + 29877645.

It is an arithmetic number, because the mean of its divisors is an integer number (140836500).

Almost surely, 2^31400853120 is an apocalyptic number.

31400853120 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 31400853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72108288000).

31400853120 is an abundant number, since it is smaller than the sum of its proper divisors (112815722880).

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

31400853120 is a wasteful number, since it uses less digits than its factorization.

31400853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 31400853120 in words is "thirty-one billion, four hundred million, eight hundred fifty-three thousand, one hundred twenty".