41999601600 has 840 divisors, whose sum is σ = 178424147088. Its totient is φ = 9577267200.

The previous prime is 41999601577. The next prime is 41999601601. The reversal of 41999601600 is 610699914.

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 (41999601601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24234334 + ... + 24236066.

Almost surely, 2^41999601600 is an apocalyptic number.

41999601600 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 41999601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89212073544).

41999601600 is an abundant number, since it is smaller than the sum of its proper divisors (136424545488).

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

41999601600 is a wasteful number, since it uses less digits than its factorization.

41999601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The spelling of 41999601600 in words is "forty-one billion, nine hundred ninety-nine million, six hundred one thousand, six hundred".