1142756582400 has 792 divisors, whose sum is σ = 4319259085440. Its totient is φ = 288091668480.

The previous prime is 1142756582371. The next prime is 1142756582413. The reversal of 1142756582400 is 42856572411.

1142756582400 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 7 + 565 + 82 + 4 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471627589 + ... + 471630011.

Almost surely, 2^{1142756582400} is an apocalyptic number.

1142756582400 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 1142756582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159629542720).

1142756582400 is an abundant number, since it is smaller than the sum of its proper divisors (3176502503040).

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

1142756582400 is a wasteful number, since it uses less digits than its factorization.

1142756582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2571 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 1142756582400 in words is "one trillion, one hundred forty-two billion, seven hundred fifty-six million, five hundred eighty-two thousand, four hundred".