41398003968 has 288 divisors, whose sum is σ = 123179616000. Its totient is φ = 12275417088.

The previous prime is 41398003967. The next prime is 41398003987. The reversal of 41398003968 is 86930089314.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 41398003968.

It is not an unprimeable number, because it can be changed into a prime (41398003963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26724858 + ... + 26726406.

It is an arithmetic number, because the mean of its divisors is an integer number (427707000).

Almost surely, 2^41398003968 is an apocalyptic number.

41398003968 is a gapful number since it is divisible by the number (48) 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 41398003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61589808000).

41398003968 is an abundant number, since it is smaller than the sum of its proper divisors (81781612032).

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

41398003968 is a wasteful number, since it uses less digits than its factorization.

41398003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 41398003968 in words is "forty-one billion, three hundred ninety-eight million, three thousand, nine hundred sixty-eight".