41328876672 has 256 divisors, whose sum is σ = 123721920000. Its totient is φ = 13581001728.

The previous prime is 41328876661. The next prime is 41328876683. The reversal of 41328876672 is 27667882314.

41328876672 is a `hidden beast` number, since 413 + 28 + 87 + 66 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (41328876661) and next prime (41328876683).

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

Its product of digits (5419008) is a multiple of the sum of its prime factors (768).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109046979 + ... + 109047357.

It is an arithmetic number, because the mean of its divisors is an integer number (483288750).

Almost surely, 2^41328876672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41328876672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61860960000).

41328876672 is an abundant number, since it is smaller than the sum of its proper divisors (82393043328).

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

41328876672 is a wasteful number, since it uses less digits than its factorization.

41328876672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768 (or 750 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 41328876672 in words is "forty-one billion, three hundred twenty-eight million, eight hundred seventy-six thousand, six hundred seventy-two".