42902133200784 has 675 divisors, whose sum is σ = 143426427227265. Its totient is φ = 11966012847360.

The previous prime is 42902133200753. The next prime is 42902133200791. The reversal of 42902133200784 is 48700233120924.

The square root of 42902133200784 is 6549972.

It is a perfect power (a square), and thus also a powerful number.

42902133200784 is a `hidden beast` number, since 4 + 290 + 21 + 332 + 0 + 0 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6346469408400 + 36555663792384 = 2519220^2 + 6046128^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 123637271299 + ... + 123637271645.

Almost surely, 2^{42902133200784} is an apocalyptic number.

42902133200784 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

42902133200784 is the 6549972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42902133200784

42902133200784 is an abundant number, since it is smaller than the sum of its proper divisors (100524294026481).

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

42902133200784 is an equidigital number, since it uses as much as digits as its factorization.

42902133200784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42902133200784 in words is "forty-two trillion, nine hundred two billion, one hundred thirty-three million, two hundred thousand, seven hundred eighty-four".