11204995645440 has 544 divisors, whose sum is σ = 40767568871040. Its totient is φ = 2918411403264.

The previous prime is 11204995645427. The next prime is 11204995645477. The reversal of 11204995645440 is 4454659940211.

11204995645440 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 9 + 95 + 6 + 4 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 380421754 + ... + 380451206.

Almost surely, 2^{11204995645440} is an apocalyptic number.

11204995645440 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 11204995645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20383784435520).

11204995645440 is an abundant number, since it is smaller than the sum of its proper divisors (29562573225600).

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

11204995645440 is an frugal number, since it uses more digits than its factorization.

11204995645440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29542 (or 29506 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 11204995645440 in words is "eleven trillion, two hundred four billion, nine hundred ninety-five million, six hundred forty-five thousand, four hundred forty".