41292937728 has 640 divisors, whose sum is σ = 151266508800. Its totient is φ = 10857037824.

The previous prime is 41292937717. The next prime is 41292937739. The reversal of 41292937728 is 82773929214.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (41292937717) and next prime (41292937739).

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68027601 + ... + 68028207.

It is an arithmetic number, because the mean of its divisors is an integer number (236353920).

Almost surely, 2^41292937728 is an apocalyptic number.

41292937728 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 41292937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75633254400).

41292937728 is an abundant number, since it is smaller than the sum of its proper divisors (109973571072).

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

41292937728 is a wasteful number, since it uses less digits than its factorization.

41292937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 675 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 41292937728 in words is "forty-one billion, two hundred ninety-two million, nine hundred thirty-seven thousand, seven hundred twenty-eight".