31422919680 has 440 divisors, whose sum is σ = 119252373768. Its totient is φ = 7884767232.

The previous prime is 31422919679. The next prime is 31422919687. The reversal of 31422919680 is 8691922413.

31422919680 is a `hidden beast` number, since 31 + 422 + 9 + 196 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9252900864 + 22170018816 = 96192^2 + 148896^2 .

It is a super-3 number, since 3×31422919680³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31422919687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7048012 + ... + 7052468.

Almost surely, 2^31422919680 is an apocalyptic number.

31422919680 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 31422919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59626186884).

31422919680 is an abundant number, since it is smaller than the sum of its proper divisors (87829454088).

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

31422919680 is a wasteful number, since it uses less digits than its factorization.

31422919680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31422919680 in words is "thirty-one billion, four hundred twenty-two million, nine hundred nineteen thousand, six hundred eighty".