4003292160 has 660 divisors, whose sum is σ = 16772372892. Its totient is φ = 910393344.

The previous prime is 4003292149. The next prime is 4003292197. The reversal of 4003292160 is 612923004.

It can be written as a sum of positive squares in 2 ways, for example, as 2962842624 + 1040449536 = 54432^2 + 32256^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321182 + ... + 20321378.

Almost surely, 2^4003292160 is an apocalyptic number.

4003292160 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 4003292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8386186446).

4003292160 is an abundant number, since it is smaller than the sum of its proper divisors (12769080732).

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

4003292160 is a wasteful number, since it uses less digits than its factorization.

4003292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 4003292160 is about 63271.5746603481. The cubic root of 4003292160 is about 1587.8364307326.

The spelling of 4003292160 in words is "four billion, three million, two hundred ninety-two thousand, one hundred sixty".