41298001920 has 384 divisors, whose sum is σ = 163657147680. Its totient is φ = 9437184000.

The previous prime is 41298001919. The next prime is 41298001939. The reversal of 41298001920 is 2910089214.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10319920 + ... + 10323920.

Almost surely, 2^41298001920 is an apocalyptic number.

41298001920 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 41298001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81828573840).

41298001920 is an abundant number, since it is smaller than the sum of its proper divisors (122359145760).

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

41298001920 is an equidigital number, since it uses as much as digits as its factorization.

41298001920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4049 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 41298001920 in words is "forty-one billion, two hundred ninety-eight million, one thousand, nine hundred twenty".