1132015046400 has 2160 divisors, whose sum is σ = 5122812119040. Its totient is φ = 241068441600.

The previous prime is 1132015046297. The next prime is 1132015046401. The reversal of 1132015046400 is 46405102311.

It is a happy number.

1132015046400 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 15 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132015046401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3262291027 + ... + 3262291373.

Almost surely, 2^{1132015046400} is an apocalyptic number.

1132015046400 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 1132015046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561406059520).

1132015046400 is an abundant number, since it is smaller than the sum of its proper divisors (3990797072640).

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

1132015046400 is a wasteful number, since it uses less digits than its factorization.

1132015046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1132015046400 in words is "one trillion, one hundred thirty-two billion, fifteen million, forty-six thousand, four hundred".