41792390640 has 1600 divisors, whose sum is σ = 206896757760. Its totient is φ = 7524679680.

The previous prime is 41792390639. The next prime is 41792390663. The reversal of 41792390640 is 4609329714.

It is a happy number.

41792390640 is a `hidden beast` number, since 417 + 92 + 3 + 90 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 110269971 + ... + 110270349.

Almost surely, 2^41792390640 is an apocalyptic number.

41792390640 is a gapful number since it is divisible by the number (40) 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 41792390640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103448378880).

41792390640 is an abundant number, since it is smaller than the sum of its proper divisors (165104367120).

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

41792390640 is a wasteful number, since it uses less digits than its factorization.

41792390640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 41792390640 in words is "forty-one billion, seven hundred ninety-two million, three hundred ninety thousand, six hundred forty".