41435136000000 has 882 divisors, whose sum is σ = 150157366359546. Its totient is φ = 11010048000000.

The previous prime is 41435135999977. The next prime is 41435136000023. The reversal of 41435136000000 is 63153414.

41435136000000 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 51 + 3 + 600 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (41435135999977) and next prime (41435136000023).

It can be written as a sum of positive squares in 7 ways, for example, as 41301496037376 + 133639962624 = 6426624^2 + 365568^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 147455999860 + ... + 147456000140.

Almost surely, 2^{41435136000000} is an apocalyptic number.

41435136000000 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 41435136000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75078683179773).

41435136000000 is an abundant number, since it is smaller than the sum of its proper divisors (108722230359546).

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

41435136000000 is an frugal number, since it uses more digits than its factorization.

41435136000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 41435136000000 its reverse (63153414), we get a palindrome (41435199153414).

The spelling of 41435136000000 in words is "forty-one trillion, four hundred thirty-five billion, one hundred thirty-six million", and thus it is an aban number.