4061756160 has 864 divisors, whose sum is σ = 18519621120. Its totient is φ = 796262400.

The previous prime is 4061756147. The next prime is 4061756189. The reversal of 4061756160 is 616571604.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16853640 + ... + 16853880.

Almost surely, 2^4061756160 is an apocalyptic number.

4061756160 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 4061756160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9259810560).

4061756160 is an abundant number, since it is smaller than the sum of its proper divisors (14457864960).

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

4061756160 is a wasteful number, since it uses less digits than its factorization.

4061756160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4061756160 is about 63731.9084917438. The cubic root of 4061756160 is about 1595.5286828835.

The spelling of 4061756160 in words is "four billion, sixty-one million, seven hundred fifty-six thousand, one hundred sixty".