1625162431140 has 144 divisors (see below), whose sum is σ = 4996853761536. Its totient is φ = 427501152000.

The previous prime is 1625162431127. The next prime is 1625162431159. The reversal of 1625162431140 is 411342615261.

1625162431140 is a `hidden beast` number, since 1 + 6 + 2 + 516 + 24 + 3 + 114 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1625162431095 and 1625162431104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4761849 + ... + 5091711.

It is an arithmetic number, because the mean of its divisors is an integer number (34700373344).

Almost surely, 2^{1625162431140} is an apocalyptic number.

1625162431140 is a gapful number since it is divisible by the number (10) 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 1625162431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498426880768).

1625162431140 is an abundant number, since it is smaller than the sum of its proper divisors (3371691330396).

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

1625162431140 is a wasteful number, since it uses less digits than its factorization.

1625162431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330250 (or 330245 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1625162431140 in words is "one trillion, six hundred twenty-five billion, one hundred sixty-two million, four hundred thirty-one thousand, one hundred forty".