42246691600 has 135 divisors (see below), whose sum is σ = 104349582453. Its totient is φ = 16436622720.

The previous prime is 42246691573. The next prime is 42246691661. The reversal of 42246691600 is 619664224.

It is a happy number.

The square root of 42246691600 is 205540.

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., 15208808976 + 27037882624 = 123324^2 + 164432^2 .

It is a super-2 number, since 2×42246691600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176764281 + ... + 176764519.

Almost surely, 2^42246691600 is an apocalyptic number.

42246691600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42246691600 is the 205540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42246691600

42246691600 is an abundant number, since it is smaller than the sum of its proper divisors (62102890853).

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

42246691600 is an equidigital number, since it uses as much as digits as its factorization.

42246691600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 40.

The spelling of 42246691600 in words is "forty-two billion, two hundred forty-six million, six hundred ninety-one thousand, six hundred".