7413241104 has 120 divisors (see below), whose sum is σ = 21176602200. Its totient is φ = 2420361216.

The previous prime is 7413241097. The next prime is 7413241163. The reversal of 7413241104 is 4011423147.

7413241104 is a `hidden beast` number, since 7 + 413 + 241 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8294400 + 7404946704 = 2880^2 + 86052^2 .

It is a super-2 number, since 2×7413241104² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1563922 + ... + 1568654.

It is an arithmetic number, because the mean of its divisors is an integer number (176471685).

Almost surely, 2^7413241104 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 7413241104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10588301100).

7413241104 is an abundant number, since it is smaller than the sum of its proper divisors (13763361096).

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

7413241104 is a wasteful number, since it uses less digits than its factorization.

7413241104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4969 (or 4960 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7413241104 is about 86100.1806269882. The cubic root of 7413241104 is about 1949.8567594980.

The spelling of 7413241104 in words is "seven billion, four hundred thirteen million, two hundred forty-one thousand, one hundred four".