31423345208640 has 2520 divisors, whose sum is σ = 144932802143976. Its totient is φ = 6437781504000.

The previous prime is 31423345208617. The next prime is 31423345208657. The reversal of 31423345208640 is 4680254332413.

31423345208640 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 3 + 3 + 4 + 520 + 86 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3917264307264 + 27506080901376 = 1979208^2 + 5244624^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11218615240 + ... + 11218618040.

Almost surely, 2^{31423345208640} is an apocalyptic number.

31423345208640 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 31423345208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72466401071988).

31423345208640 is an abundant number, since it is smaller than the sum of its proper divisors (113509456935336).

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

31423345208640 is a wasteful number, since it uses less digits than its factorization.

31423345208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2939 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 31423345208640 in words is "thirty-one trillion, four hundred twenty-three billion, three hundred forty-five million, two hundred eight thousand, six hundred forty".