11949834240 has 228 divisors, whose sum is σ = 41466907404. Its totient is φ = 3183476736.

The previous prime is 11949834233. The next prime is 11949834257. The reversal of 11949834240 is 4243894911.

11949834240 is a `hidden beast` number, since 119 + 498 + 3 + 4 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1358954496 + 10590879744 = 36864^2 + 102912^2 .

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 11 ways as a sum of consecutive naturals, for example, 11795974 + ... + 11796986.

Almost surely, 2^11949834240 is an apocalyptic number.

11949834240 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 11949834240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733453702).

11949834240 is an abundant number, since it is smaller than the sum of its proper divisors (29517073164).

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

11949834240 is an frugal number, since it uses more digits than its factorization.

11949834240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1060 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11949834240 in words is "eleven billion, nine hundred forty-nine million, eight hundred thirty-four thousand, two hundred forty".