41414927400 has 2016 divisors, whose sum is σ = 200240398080. Its totient is φ = 7838208000.

The previous prime is 41414927377. The next prime is 41414927509. The reversal of 41414927400 is 472941414.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1335965385 + ... + 1335965415.

Almost surely, 2^41414927400 is an apocalyptic number.

41414927400 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 41414927400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100120199040).

41414927400 is an abundant number, since it is smaller than the sum of its proper divisors (158825470680).

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

41414927400 is a wasteful number, since it uses less digits than its factorization.

41414927400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 41414927400 in words is "forty-one billion, four hundred fourteen million, nine hundred twenty-seven thousand, four hundred".