41329788192 has 192 divisors, whose sum is σ = 150290380800. Its totient is φ = 10734992640.

The previous prime is 41329788131. The next prime is 41329788197. The reversal of 41329788192 is 29188792314.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41329788197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244092 + ... + 377147.

It is an arithmetic number, because the mean of its divisors is an integer number (782762400).

Almost surely, 2^41329788192 is an apocalyptic number.

41329788192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

41329788192 is an abundant number, since it is smaller than the sum of its proper divisors (108960592608).

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

41329788192 is a wasteful number, since it uses less digits than its factorization.

41329788192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621276 (or 621262 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The spelling of 41329788192 in words is "forty-one billion, three hundred twenty-nine million, seven hundred eighty-eight thousand, one hundred ninety-two".