41420134103040 has 1152 divisors, whose sum is σ = 180017227353600. Its totient is φ = 8556777308160.

The previous prime is 41420134103039. The next prime is 41420134103063. The reversal of 41420134103040 is 4030143102414.

41420134103040 is a `hidden beast` number, since 4 + 1 + 4 + 201 + 3 + 410 + 3 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×41420134103040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41420134102995 and 41420134103013.

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 95 ways as a sum of consecutive naturals, for example, 1227646491 + ... + 1227680229.

It is an arithmetic number, because the mean of its divisors is an integer number (156264954300).

Almost surely, 2^{41420134103040} is an apocalyptic number.

41420134103040 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 41420134103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90008613676800).

41420134103040 is an abundant number, since it is smaller than the sum of its proper divisors (138597093250560).

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

41420134103040 is a wasteful number, since it uses less digits than its factorization.

41420134103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33963 (or 33940 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41420134103040 its reverse (4030143102414), we get a palindrome (45450277205454).

The spelling of 41420134103040 in words is "forty-one trillion, four hundred twenty billion, one hundred thirty-four million, one hundred three thousand, forty".