4157653720 has 128 divisors (see below), whose sum is σ = 10797753600. Its totient is φ = 1424908800.

The previous prime is 4157653613. The next prime is 4157653723. The reversal of 4157653720 is 273567514.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157653723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1762782 + ... + 1765138.

It is an arithmetic number, because the mean of its divisors is an integer number (84357450).

Almost surely, 2^4157653720 is an apocalyptic number.

4157653720 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 4157653720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5398876800).

4157653720 is an abundant number, since it is smaller than the sum of its proper divisors (6640099880).

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

4157653720 is a wasteful number, since it uses less digits than its factorization.

4157653720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 4157653720 is about 64479.8706574385. The cubic root of 4157653720 is about 1607.9878828406.

The spelling of 4157653720 in words is "four billion, one hundred fifty-seven million, six hundred fifty-three thousand, seven hundred twenty".