4141900800 has 198 divisors, whose sum is σ = 14830789298. Its totient is φ = 1104445440.

The previous prime is 4141900783. The next prime is 4141900817. The reversal of 4141900800 is 80091414.

It is an interprime number because it is at equal distance from previous prime (4141900783) and next prime (4141900817).

It can be written as a sum of positive squares in 3 ways, for example, as 260112384 + 3881788416 = 16128^2 + 62304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 221412 + ... + 239388.

Almost surely, 2^4141900800 is an apocalyptic number.

4141900800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4141900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7415394649).

4141900800 is an abundant number, since it is smaller than the sum of its proper divisors (10688888498).

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

4141900800 is a wasteful number, since it uses less digits than its factorization.

4141900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18013 (or 17987 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 4141900800 is about 64357.6009496936. The cubic root of 4141900800 is about 1605.9544792872.

The spelling of 4141900800 in words is "four billion, one hundred forty-one million, nine hundred thousand, eight hundred".