4014160742592 has 1120 divisors, whose sum is σ = 16303673971200. Its totient is φ = 962375178240.

The previous prime is 4014160742573. The next prime is 4014160742623. The reversal of 4014160742592 is 2952470614104.

4014160742592 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 16 + 0 + 7 + 42 + 592 = 666.

It is a super-2 number, since 2×4014160742592² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 254262123 + ... + 254277909.

It is an arithmetic number, because the mean of its divisors is an integer number (14556851760).

Almost surely, 2^{4014160742592} is an apocalyptic number.

4014160742592 is a gapful number since it is divisible by the number (42) 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 4014160742592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151836985600).

4014160742592 is an abundant number, since it is smaller than the sum of its proper divisors (12289513228608).

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

4014160742592 is a wasteful number, since it uses less digits than its factorization.

4014160742592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15856 (or 15823 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4014160742592 in words is "four trillion, fourteen billion, one hundred sixty million, seven hundred forty-two thousand, five hundred ninety-two".