11400721912008 has 768 divisors, whose sum is σ = 38782176921600. Its totient is φ = 3079296000000.

The previous prime is 11400721911937. The next prime is 11400721912037. The reversal of 11400721912008 is 80021912700411.

11400721912008 is a `hidden beast` number, since 11 + 400 + 7 + 219 + 1 + 20 + 0 + 8 = 666.

It is a super-2 number, since 2×11400721912008² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6330216708 + ... + 6330218508.

It is an arithmetic number, because the mean of its divisors is an integer number (50497626200).

Almost surely, 2^{11400721912008} is an apocalyptic number.

11400721912008 is a gapful number since it is divisible by the number (18) 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 11400721912008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19391088460800).

11400721912008 is an abundant number, since it is smaller than the sum of its proper divisors (27381455009592).

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

11400721912008 is a wasteful number, since it uses less digits than its factorization.

11400721912008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 11400721912008 in words is "eleven trillion, four hundred billion, seven hundred twenty-one million, nine hundred twelve thousand, eight".