11844138240 has 648 divisors, whose sum is σ = 46755825480. Its totient is φ = 2762833920.

The previous prime is 11844138209. The next prime is 11844138253. The reversal of 11844138240 is 4283144811.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3881788416 + 7962349824 = 62304^2 + 89232^2 .

It is a super-2 number, since 2×11844138240² (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 = 11844138195 and 11844138204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40423534 + ... + 40423826.

Almost surely, 2^11844138240 is an apocalyptic number.

11844138240 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 11844138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23377912740).

11844138240 is an abundant number, since it is smaller than the sum of its proper divisors (34911687240).

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

11844138240 is a wasteful number, since it uses less digits than its factorization.

11844138240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 11844138240 in words is "eleven billion, eight hundred forty-four million, one hundred thirty-eight thousand, two hundred forty".