11942821440 has 280 divisors, whose sum is σ = 46345888512. Its totient is φ = 2895160320.

The previous prime is 11942821417. The next prime is 11942821529. The reversal of 11942821440 is 4412824911.

11942821440 is a `hidden beast` number, since 1 + 19 + 428 + 214 + 4 + 0 = 666.

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 = 11942821395 and 11942821404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 264177 + ... + 306063.

Almost surely, 2^11942821440 is an apocalyptic number.

11942821440 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 11942821440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23172944256).

11942821440 is an abundant number, since it is smaller than the sum of its proper divisors (34403067072).

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

11942821440 is a wasteful number, since it uses less digits than its factorization.

11942821440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41927 (or 41908 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 11942821440 in words is "eleven billion, nine hundred forty-two million, eight hundred twenty-one thousand, four hundred forty".