42902290400256 has 1485 divisors, whose sum is σ = 157952772882879. Its totient is φ = 11612650033152.

The previous prime is 42902290400129. The next prime is 42902290400293. The reversal of 42902290400256 is 65200409220924.

The square root of 42902290400256 is 6549984.

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

42902290400256 is a `hidden beast` number, since 4 + 2 + 90 + 22 + 90 + 400 + 2 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2258015284215 + ... + 2258015284233.

Almost surely, 2^{42902290400256} is an apocalyptic number.

42902290400256 is the 6549984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42902290400256

42902290400256 is an abundant number, since it is smaller than the sum of its proper divisors (115050482482623).

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

42902290400256 is an frugal number, since it uses more digits than its factorization.

42902290400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 42902290400256 in words is "forty-two trillion, nine hundred two billion, two hundred ninety million, four hundred thousand, two hundred fifty-six".