1617142140 has 72 divisors (see below), whose sum is σ = 4909544640. Its totient is φ = 430867584.

The previous prime is 1617142133. The next prime is 1617142141. The reversal of 1617142140 is 412417161.

1617142140 is a `hidden beast` number, since 1 + 617 + 1 + 4 + 2 + 1 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617142141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254077 + ... + 260363.

It is an arithmetic number, because the mean of its divisors is an integer number (68188120).

Almost surely, 2^1617142140 is an apocalyptic number.

1617142140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1617142140 is an abundant number, since it is smaller than the sum of its proper divisors (3292402500).

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

1617142140 is a wasteful number, since it uses less digits than its factorization.

1617142140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7731 (or 7726 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1617142140 is about 40213.7058725007. The cubic root of 1617142140 is about 1173.7692596880.

It can be divided in two parts, 16171 and 42140, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 1617142140 in words is "one billion, six hundred seventeen million, one hundred forty-two thousand, one hundred forty".