4157591040 has 240 divisors, whose sum is σ = 14865941376. Its totient is φ = 1072742400.

The previous prime is 4157591027. The next prime is 4157591041. The reversal of 4157591040 is 401957514.

4157591040 is a `hidden beast` number, since 41 + 575 + 9 + 1 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 4157590986 and 4157591004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157591041) 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, 711330 + ... + 717150.

Almost surely, 2^4157591040 is an apocalyptic number.

4157591040 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 4157591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7432970688).

4157591040 is an abundant number, since it is smaller than the sum of its proper divisors (10708350336).

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

4157591040 is a wasteful number, since it uses less digits than its factorization.

4157591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5881 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 4157591040 is about 64479.3846124480. The cubic root of 4157591040 is about 1607.9798022264.

The spelling of 4157591040 in words is "four billion, one hundred fifty-seven million, five hundred ninety-one thousand, forty".