1133969414400 has 1701 divisors, whose sum is σ = 4629768613561. Its totient is φ = 274790154240.

The previous prime is 1133969414387. The next prime is 1133969414401. The reversal of 1133969414400 is 44149693311.

The square root of 1133969414400 is 1064880.

It is a perfect power (a square), and thus also a powerful number.

1133969414400 is a `hidden beast` number, since 1 + 1 + 33 + 96 + 94 + 1 + 440 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 369450014976 + 764519399424 = 607824^2 + 874368^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1133969414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 39102393586 + ... + 39102393614.

Almost surely, 2^{1133969414400} is an apocalyptic number.

1133969414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1133969414400 is the 1064880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1133969414400

1133969414400 is an abundant number, since it is smaller than the sum of its proper divisors (3495799199161).

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

1133969414400 is an frugal number, since it uses more digits than its factorization.

1133969414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 1133969414400 in words is "one trillion, one hundred thirty-three billion, nine hundred sixty-nine million, four hundred fourteen thousand, four hundred".