7401466036224 has 952 divisors, whose sum is σ = 25343373713112. Its totient is φ = 2140353331200.

The previous prime is 7401466036213. The next prime is 7401466036229. The reversal of 7401466036224 is 4226306641047.

7401466036224 is a `hidden beast` number, since 7 + 4 + 0 + 14 + 6 + 6 + 0 + 3 + 622 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2007775641600 + 5393690394624 = 1416960^2 + 2322432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7401466036224.

It is not an unprimeable number, because it can be changed into a prime (7401466036229) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10558439074 + ... + 10558439774.

Almost surely, 2^{7401466036224} 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 7401466036224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12671686856556).

7401466036224 is an abundant number, since it is smaller than the sum of its proper divisors (17941907676888).

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

7401466036224 is an frugal number, since it uses more digits than its factorization.

7401466036224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 7401466036224 in words is "seven trillion, four hundred one billion, four hundred sixty-six million, thirty-six thousand, two hundred twenty-four".