11741451840 has 168 divisors, whose sum is σ = 40431022008. Its totient is φ = 3127541760.

The previous prime is 11741451811. The next prime is 11741451847. The reversal of 11741451840 is 4815414711.

It is a happy number.

11741451840 is a `hidden beast` number, since 117 + 414 + 51 + 84 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304432704 + 11437019136 = 17448^2 + 106944^2 .

It is a super-2 number, since 2×11741451840² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 11741451795 and 11741451804.

It is not an unprimeable number, because it can be changed into a prime (11741451847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3491760 + ... + 3495120.

Almost surely, 2^11741451840 is an apocalyptic number.

11741451840 is a gapful number since it is divisible by the number (10) 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 11741451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20215511004).

11741451840 is an abundant number, since it is smaller than the sum of its proper divisors (28689570168).

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

11741451840 is a wasteful number, since it uses less digits than its factorization.

11741451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4597 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 11741451840 in words is "eleven billion, seven hundred forty-one million, four hundred fifty-one thousand, eight hundred forty".