7412274524160 has 1664 divisors, whose sum is σ = 30793546828800. Its totient is φ = 1671514030080.

The previous prime is 7412274524129. The next prime is 7412274524191. The reversal of 7412274524160 is 614254722147.

7412274524160 is a `hidden beast` number, since 7 + 4 + 1 + 227 + 4 + 5 + 2 + 416 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7412274524129) and next prime (7412274524191).

It is a super-2 number, since 2×7412274524160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10030141071 + ... + 10030141809.

Almost surely, 2^{7412274524160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7412274524160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15396773414400).

7412274524160 is an abundant number, since it is smaller than the sum of its proper divisors (23381272304640).

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

7412274524160 is a wasteful number, since it uses less digits than its factorization.

7412274524160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 7412274524160 in words is "seven trillion, four hundred twelve billion, two hundred seventy-four million, five hundred twenty-four thousand, one hundred sixty".