4157593440 has 768 divisors, whose sum is σ = 18654935040. Its totient is φ = 749076480.

The previous prime is 4157593387. The next prime is 4157593463. The reversal of 4157593440 is 443957514.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4157593392 and 4157593401.

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, 8167906 + ... + 8168414.

It is an arithmetic number, because the mean of its divisors is an integer number (24290280).

Almost surely, 2^4157593440 is an apocalyptic number.

4157593440 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 4157593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9327467520).

4157593440 is an abundant number, since it is smaller than the sum of its proper divisors (14497341600).

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

4157593440 is a wasteful number, since it uses less digits than its factorization.

4157593440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 4157593440 is about 64479.4032230448. The cubic root of 4157593440 is about 1607.9801116324.

The spelling of 4157593440 in words is "four billion, one hundred fifty-seven million, five hundred ninety-three thousand, four hundred forty".