4157405736 has 128 divisors (see below), whose sum is σ = 11664000000. Its totient is φ = 1224143360.

The previous prime is 4157405723. The next prime is 4157405737. The reversal of 4157405736 is 6375047514.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4157405737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384765 + ... + 1387763.

It is an arithmetic number, because the mean of its divisors is an integer number (91125000).

Almost surely, 2^4157405736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4157405736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000000).

4157405736 is an abundant number, since it is smaller than the sum of its proper divisors (7506594264).

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

4157405736 is a wasteful number, since it uses less digits than its factorization.

4157405736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 42.

The square root of 4157405736 is about 64477.9476720530. The cubic root of 4157405736 is about 1607.9559126300.

The spelling of 4157405736 in words is "four billion, one hundred fifty-seven million, four hundred five thousand, seven hundred thirty-six".