41998694400 has 1440 divisors, whose sum is σ = 180637657200. Its totient is φ = 9555148800.

The previous prime is 41998694377. The next prime is 41998694443. The reversal of 41998694400 is 449689914.

It is a happy number.

41998694400 is a `hidden beast` number, since 4 + 199 + 8 + 6 + 9 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1024358380 + ... + 1024358420.

Almost surely, 2^41998694400 is an apocalyptic number.

41998694400 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 41998694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90318828600).

41998694400 is an abundant number, since it is smaller than the sum of its proper divisors (138638962800).

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

41998694400 is a wasteful number, since it uses less digits than its factorization.

41998694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 41998694400 in words is "forty-one billion, nine hundred ninety-eight million, six hundred ninety-four thousand, four hundred".