1164066422400 has 1728 divisors, whose sum is σ = 5069968001280. Its totient is φ = 262945751040.

The previous prime is 1164066422377. The next prime is 1164066422437. The reversal of 1164066422400 is 42246604611.

1164066422400 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 0 + 6 + 642 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 215 ways as a sum of consecutive naturals, for example, 5220028689 + ... + 5220028911.

It is an arithmetic number, because the mean of its divisors is an integer number (2934009260).

Almost surely, 2^{1164066422400} is an apocalyptic number.

1164066422400 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 1164066422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534984000640).

1164066422400 is an abundant number, since it is smaller than the sum of its proper divisors (3905901578880).

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

1164066422400 is a wasteful number, since it uses less digits than its factorization.

1164066422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 1164066422400 in words is "one trillion, one hundred sixty-four billion, sixty-six million, four hundred twenty-two thousand, four hundred".