4157001216 has 160 divisors (see below), whose sum is σ = 12456702720. Its totient is φ = 1368594432.

The previous prime is 4157001197. The next prime is 4157001229. The reversal of 4157001216 is 6121007514.

It is a happy number.

4157001216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4157001216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1145581 + ... + 1149203.

It is an arithmetic number, because the mean of its divisors is an integer number (77854392).

Almost surely, 2^4157001216 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 4157001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228351360).

4157001216 is an abundant number, since it is smaller than the sum of its proper divisors (8299701504).

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

4157001216 is an equidigital number, since it uses as much as digits as its factorization.

4157001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3711 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 4157001216 is about 64474.8107092995. The cubic root of 4157001216 is about 1607.9037589983.

The spelling of 4157001216 in words is "four billion, one hundred fifty-seven million, one thousand, two hundred sixteen".