4102159324032 has 320 divisors, whose sum is σ = 15220316327040. Its totient is φ = 1065495720960.

The previous prime is 4102159324031. The next prime is 4102159324051. The reversal of 4102159324032 is 2304239512014.

4102159324032 is a `hidden beast` number, since 4 + 1 + 0 + 21 + 593 + 2 + 40 + 3 + 2 = 666.

It is a super-2 number, since 2×4102159324032² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102159324031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1770858 + ... + 3367529.

It is an arithmetic number, because the mean of its divisors is an integer number (47563488522).

Almost surely, 2^{4102159324032} is an apocalyptic number.

4102159324032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4102159324032 is an abundant number, since it is smaller than the sum of its proper divisors (11118157003008).

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

4102159324032 is a wasteful number, since it uses less digits than its factorization.

4102159324032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138431 (or 5138410 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 4102159324032 in words is "four trillion, one hundred two billion, one hundred fifty-nine million, three hundred twenty-four thousand, thirty-two".