11807389440 has 1728 divisors, whose sum is σ = 57854684160. Its totient is φ = 2229534720.

The previous prime is 11807389427. The next prime is 11807389483. The reversal of 11807389440 is 4498370811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 407151346 + ... + 407151374.

It is an arithmetic number, because the mean of its divisors is an integer number (33480720).

Almost surely, 2^11807389440 is an apocalyptic number.

11807389440 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 11807389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28927342080).

11807389440 is an abundant number, since it is smaller than the sum of its proper divisors (46047294720).

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

11807389440 is a wasteful number, since it uses less digits than its factorization.

11807389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11807389440 in words is "eleven billion, eight hundred seven million, three hundred eighty-nine thousand, four hundred forty".