11814953440 has 96 divisors (see below), whose sum is σ = 28171009440. Its totient is φ = 4682496000.

The previous prime is 11814953429. The next prime is 11814953489. The reversal of 11814953440 is 4435941811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11814953393 and 11814953402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9080790 + ... + 9082090.

It is an arithmetic number, because the mean of its divisors is an integer number (293448015).

Almost surely, 2^11814953440 is an apocalyptic number.

11814953440 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 11814953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14085504720).

11814953440 is an abundant number, since it is smaller than the sum of its proper divisors (16356056000).

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

11814953440 is a wasteful number, since it uses less digits than its factorization.

11814953440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1796 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 11814953440 in words is "eleven billion, eight hundred fourteen million, nine hundred fifty-three thousand, four hundred forty".