142265600870400 has 648 divisors, whose sum is σ = 592686764388810. Its totient is φ = 32517846466560.

The previous prime is 142265600870381. The next prime is 142265600870401. The reversal of 142265600870400 is 4078006562241.

142265600870400 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 6 + 560 + 0 + 87 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 126985132237824 + 15280468632576 = 11268768^2 + 3909024^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142265600870401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 19428832 + ... + 25729568.

Almost surely, 2^{142265600870400} is an apocalyptic number.

142265600870400 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 142265600870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296343382194405).

142265600870400 is an abundant number, since it is smaller than the sum of its proper divisors (450421163518410).

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

142265600870400 is a wasteful number, since it uses less digits than its factorization.

142265600870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6300789 (or 6300754 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 142265600870400 in words is "one hundred forty-two trillion, two hundred sixty-five billion, six hundred million, eight hundred seventy thousand, four hundred".