7441136136 has 192 divisors, whose sum is σ = 24470160000. Its totient is φ = 1995383808.

The previous prime is 7441136107. The next prime is 7441136137. The reversal of 7441136136 is 6316311447.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 7441136136.

It is not an unprimeable number, because it can be changed into a prime (7441136137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040220 + ... + 1047348.

It is an arithmetic number, because the mean of its divisors is an integer number (127448750).

Almost surely, 2^7441136136 is an apocalyptic number.

7441136136 is a gapful number since it is divisible by the number (76) 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 7441136136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12235080000).

7441136136 is an abundant number, since it is smaller than the sum of its proper divisors (17029023864).

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

7441136136 is a wasteful number, since it uses less digits than its factorization.

7441136136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276 (or 7269 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 7441136136 is about 86262.0202406598. The cubic root of 7441136136 is about 1952.2993814583.

The spelling of 7441136136 in words is "seven billion, four hundred forty-one million, one hundred thirty-six thousand, one hundred thirty-six".