41329197000 has 1344 divisors, whose sum is σ = 183688268400. Its totient is φ = 8622028800.

The previous prime is 41329196983. The next prime is 41329197011. The reversal of 41329197000 is 79192314.

It can be written as a sum of positive squares in 8 ways, for example, as 1344395556 + 39984801444 = 36666^2 + 199962^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 464372956 + ... + 464373044.

Almost surely, 2^41329197000 is an apocalyptic number.

41329197000 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 41329197000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91844134200).

41329197000 is an abundant number, since it is smaller than the sum of its proper divisors (142359071400).

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

41329197000 is a wasteful number, since it uses less digits than its factorization.

41329197000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 41329197000 in words is "forty-one billion, three hundred twenty-nine million, one hundred ninety-seven thousand".