617142505140 has 384 divisors, whose sum is σ = 2241662976000. Its totient is φ = 138037312512.

The previous prime is 617142505129. The next prime is 617142505229. The reversal of 617142505140 is 41505241716.

617142505140 is a `hidden beast` number, since 6 + 1 + 7 + 1 + 4 + 2 + 505 + 140 = 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 = 617142505095 and 617142505104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49727256 + ... + 49739664.

It is an arithmetic number, because the mean of its divisors is an integer number (5837664000).

Almost surely, 2^617142505140 is an apocalyptic number.

617142505140 is a gapful number since it is divisible by the number (60) 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 617142505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120831488000).

617142505140 is an abundant number, since it is smaller than the sum of its proper divisors (1624520470860).

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

617142505140 is a wasteful number, since it uses less digits than its factorization.

617142505140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12716 (or 12708 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 617142505140 its reverse (41505241716), we get a palindrome (658647746856).

The spelling of 617142505140 in words is "six hundred seventeen billion, one hundred forty-two million, five hundred five thousand, one hundred forty".