41540198400 has 504 divisors, whose sum is σ = 153808322304. Its totient is φ = 10705305600.

The previous prime is 41540198383. The next prime is 41540198417. The reversal of 41540198400 is 489104514.

It is an interprime number because it is at equal distance from previous prime (41540198383) and next prime (41540198417).

It is a super-2 number, since 2×41540198400² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57138837 + ... + 57139563.

Almost surely, 2^41540198400 is an apocalyptic number.

41540198400 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 41540198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76904161152).

41540198400 is an abundant number, since it is smaller than the sum of its proper divisors (112268123904).

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

41540198400 is a wasteful number, since it uses less digits than its factorization.

41540198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 41540198400 in words is "forty-one billion, five hundred forty million, one hundred ninety-eight thousand, four hundred".