41873436900 has 243 divisors, whose sum is σ = 138908356041. Its totient is φ = 10549085760.

The previous prime is 41873436889. The next prime is 41873436929. The reversal of 41873436900 is 963437814.

The square root of 41873436900 is 204630.

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., 15074437284 + 26798999616 = 122778^2 + 163704^2 .

It is a super-2 number, since 2×41873436900² (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 80 ways as a sum of consecutive naturals, for example, 116638921 + ... + 116639279.

Almost surely, 2^41873436900 is an apocalyptic number.

41873436900 is the 204630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41873436900

41873436900 is an abundant number, since it is smaller than the sum of its proper divisors (97034919141).

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

41873436900 is a wasteful number, since it uses less digits than its factorization.

41873436900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 41873436900 in words is "forty-one billion, eight hundred seventy-three million, four hundred thirty-six thousand, nine hundred".