1132953494400 has 2304 divisors, whose sum is σ = 5369956300800. Its totient is φ = 220653158400.

The previous prime is 1132953494371. The next prime is 1132953494401. The reversal of 1132953494400 is 44943592311.

1132953494400 is a `hidden beast` number, since 1 + 1 + 3 + 29 + 534 + 94 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132953494401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2628662185 + ... + 2628662615.

It is an arithmetic number, because the mean of its divisors is an integer number (2330710200).

Almost surely, 2^{1132953494400} is an apocalyptic number.

1132953494400 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 1132953494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684978150400).

1132953494400 is an abundant number, since it is smaller than the sum of its proper divisors (4237002806400).

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

1132953494400 is a wasteful number, since it uses less digits than its factorization.

1132953494400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1132953494400 in words is "one trillion, one hundred thirty-two billion, nine hundred fifty-three million, four hundred ninety-four thousand, four hundred".