41189990400 has 840 divisors, whose sum is σ = 165184677504. Its totient is φ = 10085990400.

The previous prime is 41189990341. The next prime is 41189990417. The reversal of 41189990400 is 409998114.

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

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 59 ways as a sum of consecutive naturals, for example, 215654305 + ... + 215654495.

Almost surely, 2^41189990400 is an apocalyptic number.

41189990400 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 41189990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82592338752).

41189990400 is an abundant number, since it is smaller than the sum of its proper divisors (123994687104).

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

41189990400 is a wasteful number, since it uses less digits than its factorization.

41189990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 41189990400 in words is "forty-one billion, one hundred eighty-nine million, nine hundred ninety thousand, four hundred".