4072159253295 has 64 divisors (see below), whose sum is σ = 8306556410880. Its totient is φ = 1854141840000.

The previous prime is 4072159253249. The next prime is 4072159253297. The reversal of 4072159253295 is 5923529512704.

4072159253295 is a `hidden beast` number, since 4 + 0 + 7 + 2 + 15 + 9 + 2 + 532 + 95 = 666.

It is not a de Polignac number, because 4072159253295 - 2¹⁵ = 4072159220527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4072159253297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8346796 + ... + 8821185.

It is an arithmetic number, because the mean of its divisors is an integer number (129789943920).

Almost surely, 2^{4072159253295} is an apocalyptic number.

4072159253295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4072159253295 is an abundant number, since it is smaller than the sum of its proper divisors (4234397157585).

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

4072159253295 is a wasteful number, since it uses less digits than its factorization.

4072159253295 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17168253 (or 17168247 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 4072159253295 in words is "four trillion, seventy-two billion, one hundred fifty-nine million, two hundred fifty-three thousand, two hundred ninety-five".