31420806144 has 176 divisors, whose sum is σ = 103075260288. Its totient is φ = 8286732288.

The previous prime is 31420806143. The next prime is 31420806167. The reversal of 31420806144 is 44160802413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420806143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223354 + ... + 335750.

It is an arithmetic number, because the mean of its divisors is an integer number (585654888).

Almost surely, 2^31420806144 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 31420806144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51537630144).

31420806144 is an abundant number, since it is smaller than the sum of its proper divisors (71654454144).

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

31420806144 is a wasteful number, since it uses less digits than its factorization.

31420806144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112440 (or 112422 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 31420806144 in words is "thirty-one billion, four hundred twenty million, eight hundred six thousand, one hundred forty-four".