42400987225 has 9 divisors (see below), whose sum is σ = 52578500863. Its totient is φ = 33919966120.

The previous prime is 42400987219. The next prime is 42400987241. The reversal of 42400987225 is 52278900424.

It is a happy number.

The square root of 42400987225 is 205915.

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

It can be written as a sum of positive squares in only one way, i.e., 15264355401 + 27136631824 = 123549^2 + 164732^2 .

It is not a de Polignac number, because 42400987225 - 2¹¹ = 42400985177 is a prime.

It is a super-2 number, since 2×42400987225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1008984 + ... + 1050166.

Almost surely, 2^42400987225 is an apocalyptic number.

42400987225 is the 205915-th square number.

42400987225 is the 102958-th centered octagonal number.

It is an amenable number.

42400987225 is a deficient number, since it is larger than the sum of its proper divisors (10177513638).

42400987225 is an frugal number, since it uses more digits than its factorization.

42400987225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82376 (or 41188 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 43.

The spelling of 42400987225 in words is "forty-two billion, four hundred million, nine hundred eighty-seven thousand, two hundred twenty-five".