41943398400 has 288 divisors, whose sum is σ = 154070607600. Its totient is φ = 11184537600.

The previous prime is 41943398351. The next prime is 41943398401. The reversal of 41943398400 is 489334914.

It is a happy number.

41943398400 is a `hidden beast` number, since 41 + 94 + 33 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×41943398400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41943398401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1367230 + ... + 1397570.

Almost surely, 2^41943398400 is an apocalyptic number.

41943398400 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 41943398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77035303800).

41943398400 is an abundant number, since it is smaller than the sum of its proper divisors (112127209200).

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

41943398400 is a wasteful number, since it uses less digits than its factorization.

41943398400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30382 (or 30351 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 41943398400 in words is "forty-one billion, nine hundred forty-three million, three hundred ninety-eight thousand, four hundred".