1145545042400 has 216 divisors, whose sum is σ = 3119803679160. Its totient is φ = 410342169600.

The previous prime is 1145545042399. The next prime is 1145545042457. The reversal of 1145545042400 is 42405455411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6397286 + ... + 6573914.

Almost surely, 2^{1145545042400} is an apocalyptic number.

1145545042400 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 1145545042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559901839580).

1145545042400 is an abundant number, since it is smaller than the sum of its proper divisors (1974258636760).

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

1145545042400 is a wasteful number, since it uses less digits than its factorization.

1145545042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176738 (or 176714 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

The spelling of 1145545042400 in words is "one trillion, one hundred forty-five billion, five hundred forty-five million, forty-two thousand, four hundred".