42932254401 has 9 divisors (see below), whose sum is σ = 62014154241. Its totient is φ = 28621088532.

The previous prime is 42932254367. The next prime is 42932254429. The reversal of 42932254401 is 10445223924.

It is a happy number.

The square root of 42932254401 is 207201.

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

42932254401 is a `hidden beast` number, since 4 + 2 + 93 + 22 + 544 + 0 + 1 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is a de Polignac number, because none of the positive numbers 2^k-42932254401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42932254201) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 587070 + ... + 656136.

Almost surely, 2^42932254401 is an apocalyptic number.

42932254401 is the 207201-st square number.

42932254401 is the 103601-st centered octagonal number.

It is an amenable number.

42932254401 is a deficient number, since it is larger than the sum of its proper divisors (19081899840).

42932254401 is an frugal number, since it uses more digits than its factorization.

42932254401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138140 (or 69070 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 42932254401 by its sum of digits (36), we get a square (1545561158436 = 1243206²).

The spelling of 42932254401 in words is "forty-two billion, nine hundred thirty-two million, two hundred fifty-four thousand, four hundred one".