31413320640 has 448 divisors, whose sum is σ = 119863941120. Its totient is φ = 7698862080.

The previous prime is 31413320623. The next prime is 31413320641. The reversal of 31413320640 is 4602331413.

31413320640 is a `hidden beast` number, since 3 + 1 + 4 + 13 + 3 + 2 + 0 + 640 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31413320641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34481785 + ... + 34482695.

It is an arithmetic number, because the mean of its divisors is an integer number (267553440).

Almost surely, 2^31413320640 is an apocalyptic number.

31413320640 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 31413320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59931970560).

31413320640 is an abundant number, since it is smaller than the sum of its proper divisors (88450620480).

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

31413320640 is a wasteful number, since it uses less digits than its factorization.

31413320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 31413320640 in words is "thirty-one billion, four hundred thirteen million, three hundred twenty thousand, six hundred forty".