1142647430400 has 1512 divisors, whose sum is σ = 4936628410560. Its totient is φ = 256316866560.

The previous prime is 1142647430381. The next prime is 1142647430411. The reversal of 1142647430400 is 40347462411.

1142647430400 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 647 + 4 + 3 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1926892504 + ... + 1926893096.

It is an arithmetic number, because the mean of its divisors is an integer number (3264965880).

Almost surely, 2^{1142647430400} is an apocalyptic number.

1142647430400 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 1142647430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468314205280).

1142647430400 is an abundant number, since it is smaller than the sum of its proper divisors (3793980980160).

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

1142647430400 is an frugal number, since it uses more digits than its factorization.

1142647430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 1142647430400 in words is "one trillion, one hundred forty-two billion, six hundred forty-seven million, four hundred thirty thousand, four hundred".