11944049040 has 1920 divisors, whose sum is σ = 60167577600. Its totient is φ = 2043740160.

The previous prime is 11944049027. The next prime is 11944049077. The reversal of 11944049040 is 4094044911.

11944049040 is a `hidden beast` number, since 1 + 1 + 94 + 40 + 490 + 40 = 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 = 11944048986 and 11944049004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 411863746 + ... + 411863774.

It is an arithmetic number, because the mean of its divisors is an integer number (31337280).

Almost surely, 2^11944049040 is an apocalyptic number.

11944049040 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 11944049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30083788800).

11944049040 is an abundant number, since it is smaller than the sum of its proper divisors (48223528560).

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

11944049040 is a wasteful number, since it uses less digits than its factorization.

11944049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11944049040 in words is "eleven billion, nine hundred forty-four million, forty-nine thousand, forty".