41047153968 has 80 divisors (see below), whose sum is σ = 108554409216. Its totient is φ = 13358042880.

The previous prime is 41047153967. The next prime is 41047153969. The reversal of 41047153968 is 86935174014.

41047153968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41047153967) and next prime (41047153969).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (41047153967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7338853 + ... + 7344443.

Almost surely, 2^41047153968 is an apocalyptic number.

41047153968 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 41047153968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54277204608).

41047153968 is an abundant number, since it is smaller than the sum of its proper divisors (67507255248).

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

41047153968 is a wasteful number, since it uses less digits than its factorization.

41047153968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9202 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 41047153968 in words is "forty-one billion, forty-seven million, one hundred fifty-three thousand, nine hundred sixty-eight".