11868406440 has 128 divisors (see below), whose sum is σ = 39479080320. Its totient is φ = 2830003200.

The previous prime is 11868406439. The next prime is 11868406453. The reversal of 11868406440 is 4460486811.

It is a junction number, because it is equal to n+sod(n) for n = 11868406392 and 11868406401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6822 + ... + 154218.

It is an arithmetic number, because the mean of its divisors is an integer number (308430315).

Almost surely, 2^11868406440 is an apocalyptic number.

11868406440 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 11868406440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19739540160).

11868406440 is an abundant number, since it is smaller than the sum of its proper divisors (27610673880).

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

11868406440 is a wasteful number, since it uses less digits than its factorization.

11868406440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147483 (or 147479 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 11868406440 in words is "eleven billion, eight hundred sixty-eight million, four hundred six thousand, four hundred forty".