4014365225472 has 960 divisors, whose sum is σ = 14751889152000. Its totient is φ = 1086375628800.

The previous prime is 4014365225471. The next prime is 4014365225527. The reversal of 4014365225472 is 2745225634104.

4014365225472 is a `hidden beast` number, since 4 + 0 + 1 + 4 + 3 + 6 + 522 + 54 + 72 = 666.

It is a super-2 number, since 2×4014365225472² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4014365225471) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 810816597 + ... + 810821547.

It is an arithmetic number, because the mean of its divisors is an integer number (15366551200).

Almost surely, 2^{4014365225472} is an apocalyptic number.

4014365225472 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 4014365225472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7375944576000).

4014365225472 is an abundant number, since it is smaller than the sum of its proper divisors (10737523926528).

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

4014365225472 is an frugal number, since it uses more digits than its factorization.

4014365225472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 4982 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 4014365225472 in words is "four trillion, fourteen billion, three hundred sixty-five million, two hundred twenty-five thousand, four hundred seventy-two".