415161148900 has 27 divisors (see below), whose sum is σ = 900913675291. Its totient is φ = 166061882240.

The previous prime is 415161148837. The next prime is 415161148907. The reversal of 415161148900 is 9841161514.

The square root of 415161148900 is 644330.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15140318116 + 400020830784 = 123046^2 + 632472^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415161148907) 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, 6411084 + ... + 6475516.

Almost surely, 2^415161148900 is an apocalyptic number.

415161148900 is the 644330-th square number.

It is an amenable number.

415161148900 is an abundant number, since it is smaller than the sum of its proper divisors (485752526391).

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

415161148900 is an frugal number, since it uses more digits than its factorization.

415161148900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128880 (or 64440 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

The spelling of 415161148900 in words is "four hundred fifteen billion, one hundred sixty-one million, one hundred forty-eight thousand, nine hundred".