4157175640 has 48 divisors (see below), whose sum is σ = 9660651840. Its totient is φ = 1608350400.

The previous prime is 4157175637. The next prime is 4157175653. The reversal of 4157175640 is 465717514.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 4157175593 and 4157175602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2269525 + ... + 2271355.

It is an arithmetic number, because the mean of its divisors is an integer number (201263580).

Almost surely, 2^4157175640 is an apocalyptic number.

4157175640 is a gapful number since it is divisible by the number (40) 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 4157175640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4830325920).

4157175640 is an abundant number, since it is smaller than the sum of its proper divisors (5503476200).

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

4157175640 is an equidigital number, since it uses as much as digits as its factorization.

4157175640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3704 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 4157175640 is about 64476.1633473953. The cubic root of 4157175640 is about 1607.9262474114.

The spelling of 4157175640 in words is "four billion, one hundred fifty-seven million, one hundred seventy-five thousand, six hundred forty".