41109314400 has 1620 divisors, whose sum is σ = 193480796124. Its totient is φ = 8462361600.

The previous prime is 41109314399. The next prime is 41109314423. The reversal of 41109314400 is 441390114.

It is a tau number, because it is divible by the number of its divisors (1620).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 384199147 + ... + 384199253.

Almost surely, 2^41109314400 is an apocalyptic number.

41109314400 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 41109314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96740398062).

41109314400 is an abundant number, since it is smaller than the sum of its proper divisors (152371481724).

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

41109314400 is a wasteful number, since it uses less digits than its factorization.

41109314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 41109314400 in words is "forty-one billion, one hundred nine million, three hundred fourteen thousand, four hundred".