11404163666400 has 288 divisors, whose sum is σ = 37849496227200. Its totient is φ = 2981664000000.

The previous prime is 11404163666387. The next prime is 11404163666429. The reversal of 11404163666400 is 466636140411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53560150 + ... + 53772650.

It is an arithmetic number, because the mean of its divisors is an integer number (131421861900).

Almost surely, 2^{11404163666400} is an apocalyptic number.

11404163666400 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 11404163666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18924748113600).

11404163666400 is an abundant number, since it is smaller than the sum of its proper divisors (26445332560800).

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

11404163666400 is a wasteful number, since it uses less digits than its factorization.

11404163666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212962 (or 212949 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 11404163666400 in words is "eleven trillion, four hundred four billion, one hundred sixty-three million, six hundred sixty-six thousand, four hundred".