41092728768 has 336 divisors, whose sum is σ = 145612282816. Its totient is φ = 10789355520.

The previous prime is 41092728727. The next prime is 41092728779. The reversal of 41092728768 is 86782729014.

It is a happy number.

41092728768 is a `hidden beast` number, since 410 + 92 + 7 + 2 + 87 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×41092728768² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12630630 + ... + 12633882.

Almost surely, 2^41092728768 is an apocalyptic number.

41092728768 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 41092728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72806141408).

41092728768 is an abundant number, since it is smaller than the sum of its proper divisors (104519554048).

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

41092728768 is a wasteful number, since it uses less digits than its factorization.

41092728768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 41092728768 in words is "forty-one billion, ninety-two million, seven hundred twenty-eight thousand, seven hundred sixty-eight".