11882241540 has 240 divisors, whose sum is σ = 40505694768. Its totient is φ = 2898395136.

The previous prime is 11882241523. The next prime is 11882241541. The reversal of 11882241540 is 4514228811.

11882241540 is a `hidden beast` number, since 1 + 18 + 82 + 24 + 1 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4578146244 + 7304095296 = 67662^2 + 85464^2 .

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 = 11882241495 and 11882241504.

It is not an unprimeable number, because it can be changed into a prime (11882241541) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2377284 + ... + 2382276.

Almost surely, 2^11882241540 is an apocalyptic number.

11882241540 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 11882241540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20252847384).

11882241540 is an abundant number, since it is smaller than the sum of its proper divisors (28623453228).

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

11882241540 is a wasteful number, since it uses less digits than its factorization.

11882241540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5140 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 11882241540 in words is "eleven billion, eight hundred eighty-two million, two hundred forty-one thousand, five hundred forty".