11840437440 has 1008 divisors, whose sum is σ = 49337110368. Its totient is φ = 2691366912.

The previous prime is 11840437439. The next prime is 11840437517. The reversal of 11840437440 is 4473404811.

It is a happy number.

11840437440 is a `hidden beast` number, since 1 + 184 + 0 + 4 + 37 + 440 = 666.

11840437440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11840437395 and 11840437404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 223404454 + ... + 223404506.

It is an arithmetic number, because the mean of its divisors is an integer number (48945546).

Almost surely, 2^11840437440 is an apocalyptic number.

11840437440 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 11840437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24668555184).

11840437440 is an abundant number, since it is smaller than the sum of its proper divisors (37496672928).

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

11840437440 is a wasteful number, since it uses less digits than its factorization.

11840437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 11840437440 in words is "eleven billion, eight hundred forty million, four hundred thirty-seven thousand, four hundred forty".