4017460457472 has 520 divisors, whose sum is σ = 13633642971840. Its totient is φ = 1043411927040.

The previous prime is 4017460457447. The next prime is 4017460457497. The reversal of 4017460457472 is 2747540647104.

It is an interprime number because it is at equal distance from previous prime (4017460457447) and next prime (4017460457497).

It is a super-2 number, since 2×4017460457472² (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 39 ways as a sum of consecutive naturals, for example, 324532179 + ... + 324544557.

Almost surely, 2^{4017460457472} is an apocalyptic number.

4017460457472 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 4017460457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816821485920).

4017460457472 is an abundant number, since it is smaller than the sum of its proper divisors (9616182514368).

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

4017460457472 is an equidigital number, since it uses as much as digits as its factorization.

4017460457472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12445 (or 12402 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 51.

The spelling of 4017460457472 in words is "four trillion, seventeen billion, four hundred sixty million, four hundred fifty-seven thousand, four hundred seventy-two".