1145299982400 has 1008 divisors, whose sum is σ = 4952800929024. Its totient is φ = 245036482560.

The previous prime is 1145299982381. The next prime is 1145299982401. The reversal of 1145299982400 is 42899925411.

1145299982400 is a `hidden beast` number, since 1 + 1 + 4 + 529 + 9 + 98 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1145299982401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 330723069 + ... + 330726531.

Almost surely, 2^{1145299982400} is an apocalyptic number.

1145299982400 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 1145299982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476400464512).

1145299982400 is an abundant number, since it is smaller than the sum of its proper divisors (3807500946624).

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

1145299982400 is a wasteful number, since it uses less digits than its factorization.

1145299982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1145299982400 in words is "one trillion, one hundred forty-five billion, two hundred ninety-nine million, nine hundred eighty-two thousand, four hundred".