4031642160 has 960 divisors, whose sum is σ = 18016846848. Its totient is φ = 815173632.

The previous prime is 4031642141. The next prime is 4031642179. The reversal of 4031642160 is 612461304.

4031642160 is a `hidden beast` number, since 4 + 0 + 3 + 1 + 642 + 16 + 0 = 666.

4031642160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4031642141) and next prime (4031642179).

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 191 ways as a sum of consecutive naturals, for example, 76068694 + ... + 76068746.

Almost surely, 2^4031642160 is an apocalyptic number.

4031642160 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 4031642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9008423424).

4031642160 is an abundant number, since it is smaller than the sum of its proper divisors (13985204688).

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

4031642160 is a wasteful number, since it uses less digits than its factorization.

4031642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4031642160 is about 63495.2136778828. The cubic root of 4031642160 is about 1591.5757962552.

The spelling of 4031642160 in words is "four billion, thirty-one million, six hundred forty-two thousand, one hundred sixty".