42681494025 has 45 divisors (see below), whose sum is σ = 79078105623. Its totient is φ = 22758505200.

The previous prime is 42681493993. The next prime is 42681494039. The reversal of 42681494025 is 52049418624.

It is a happy number.

The square root of 42681494025 is 206595.

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

42681494025 is a `hidden beast` number, since 42 + 68 + 149 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15365337849 + 27316156176 = 123957^2 + 165276^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 42681494025 - 2⁵ = 42681493993 is a prime.

It is a super-2 number, since 2×42681494025² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9294480 + ... + 9299070.

Almost surely, 2^42681494025 is an apocalyptic number.

42681494025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42681494025 is the 206595-th square number.

42681494025 is the 103298-th centered octagonal number.

It is an amenable number.

42681494025 is a deficient number, since it is larger than the sum of its proper divisors (36396611598).

42681494025 is an frugal number, since it uses more digits than its factorization.

42681494025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9204 (or 4599 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 42681494025 in words is "forty-two billion, six hundred eighty-one million, four hundred ninety-four thousand, twenty-five".