42077666092900 has 81 divisors (see below), whose sum is σ = 91811404633473. Its totient is φ = 16738877030400.

The previous prime is 42077666092873. The next prime is 42077666092927. The reversal of 42077666092900 is 929066677024.

It is a happy number.

The square root of 42077666092900 is 6486730.

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

It is an interprime number because it is at equal distance from previous prime (42077666092873) and next prime (42077666092927).

It can be written as a sum of positive squares in 13 ways, for example, as 27283427009316 + 14794239083584 = 5223354^2 + 3846328^2 .

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, 12519387220 + ... + 12519390580.

Almost surely, 2^{42077666092900} is an apocalyptic number.

42077666092900 is the 6486730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42077666092900

42077666092900 is an abundant number, since it is smaller than the sum of its proper divisors (49733738540573).

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

42077666092900 is an frugal number, since it uses more digits than its factorization.

42077666092900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122 (or 3561 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 58.

The spelling of 42077666092900 in words is "forty-two trillion, seventy-seven billion, six hundred sixty-six million, ninety-two thousand, nine hundred".