31454940142080 has 1920 divisors, whose sum is σ = 140779137058560. Its totient is φ = 6598308003840.

The previous prime is 31454940142057. The next prime is 31454940142091. The reversal of 31454940142080 is 8024104945413.

31454940142080 is a `hidden beast` number, since 3 + 1 + 4 + 549 + 4 + 0 + 1 + 4 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7969326667 + ... + 7969330613.

It is an arithmetic number, because the mean of its divisors is an integer number (73322467218).

Almost surely, 2^{31454940142080} is an apocalyptic number.

31454940142080 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 31454940142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70389568529280).

31454940142080 is an abundant number, since it is smaller than the sum of its proper divisors (109324196916480).

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

31454940142080 is a wasteful number, since it uses less digits than its factorization.

31454940142080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 31454940142080 in words is "thirty-one trillion, four hundred fifty-four billion, nine hundred forty million, one hundred forty-two thousand, eighty".