41801525781120 has 1536 divisors, whose sum is σ = 179977328179200. Its totient is φ = 9245950156800.

The previous prime is 41801525781077. The next prime is 41801525781137. The reversal of 41801525781120 is 2118752510814.

41801525781120 is a `hidden beast` number, since 4 + 1 + 8 + 0 + 1 + 52 + 578 + 1 + 1 + 20 = 666.

It is a super-2 number, since 2×41801525781120² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2126104090 + ... + 2126123750.

It is an arithmetic number, because the mean of its divisors is an integer number (117172739700).

Almost surely, 2^{41801525781120} is an apocalyptic number.

41801525781120 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 41801525781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89988664089600).

41801525781120 is an abundant number, since it is smaller than the sum of its proper divisors (138175802398080).

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

41801525781120 is an equidigital number, since it uses as much as digits as its factorization.

41801525781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19746 (or 19709 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 41801525781120 in words is "forty-one trillion, eight hundred one billion, five hundred twenty-five million, seven hundred eighty-one thousand, one hundred twenty".