4129145920900 has 1215 divisors, whose sum is σ = 12885276085773. Its totient is φ = 1147040294400.

The previous prime is 4129145920877. The next prime is 4129145920901. The reversal of 4129145920900 is 90295419214.

It is a happy number.

The square root of 4129145920900 is 2032030.

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

It can be written as a sum of positive squares in 13 ways, for example, as 3819734083396 + 309411837504 = 1954414^2 + 556248^2 .

It is not an unprimeable number, because it can be changed into a prime (4129145920901) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 142384342086 + ... + 142384342114.

Almost surely, 2^{4129145920900} is an apocalyptic number.

4129145920900 is the 2032030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4129145920900

4129145920900 is an abundant number, since it is smaller than the sum of its proper divisors (8756130164873).

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

4129145920900 is a wasteful number, since it uses less digits than its factorization.

4129145920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 46.

The spelling of 4129145920900 in words is "four trillion, one hundred twenty-nine billion, one hundred forty-five million, nine hundred twenty thousand, nine hundred".