1150366406400 has 1080 divisors, whose sum is σ = 4354390301184. Its totient is φ = 299593728000.

The previous prime is 1150366406323. The next prime is 1150366406401. The reversal of 1150366406400 is 46046630511.

It is a happy number.

1150366406400 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 3 + 6 + 6 + 4 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1150366406401) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 6649516714 + ... + 6649516886.

Almost surely, 2^{1150366406400} is an apocalyptic number.

1150366406400 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 1150366406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177195150592).

1150366406400 is an abundant number, since it is smaller than the sum of its proper divisors (3204023894784).

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

1150366406400 is a wasteful number, since it uses less digits than its factorization.

1150366406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1150366406400 in words is "one trillion, one hundred fifty billion, three hundred sixty-six million, four hundred six thousand, four hundred".