41084206400 has 84 divisors (see below), whose sum is σ = 101361057120. Its totient is φ = 16390080000.

The previous prime is 41084206399. The next prime is 41084206447. The reversal of 41084206400 is 460248014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 572525 + ... + 640275.

Almost surely, 2^41084206400 is an apocalyptic number.

41084206400 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 41084206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50680528560).

41084206400 is an abundant number, since it is smaller than the sum of its proper divisors (60276850720).

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

41084206400 is a wasteful number, since it uses less digits than its factorization.

41084206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68152 (or 68137 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The spelling of 41084206400 in words is "forty-one billion, eighty-four million, two hundred six thousand, four hundred".