4015460745216 has 768 divisors, whose sum is σ = 12984612076800. Its totient is φ = 1189236178944.

The previous prime is 4015460745203. The next prime is 4015460745251. The reversal of 4015460745216 is 6125470645104.

4015460745216 is a `hidden beast` number, since 4 + 0 + 1 + 54 + 6 + 0 + 74 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4015460745216² (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 47 ways as a sum of consecutive naturals, for example, 11185127245 + ... + 11185127603.

It is an arithmetic number, because the mean of its divisors is an integer number (16907046975).

Almost surely, 2^{4015460745216} is an apocalyptic number.

4015460745216 is a gapful number since it is divisible by the number (46) 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 4015460745216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492306038400).

4015460745216 is an abundant number, since it is smaller than the sum of its proper divisors (8969151331584).

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

4015460745216 is a wasteful number, since it uses less digits than its factorization.

4015460745216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 4015460745216 in words is "four trillion, fifteen billion, four hundred sixty million, seven hundred forty-five thousand, two hundred sixteen".