41435555553414 has 256 divisors, whose sum is σ = 104382908928000. Its totient is φ = 12072765450240.

The previous prime is 41435555553407. The next prime is 41435555553461.

41435555553414 is a `hidden beast` number, since 4 + 1 + 4 + 3 + 5 + 55 + 55 + 534 + 1 + 4 = 666.

41435555553414 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4211353507 + ... + 4211363345.

It is an arithmetic number, because the mean of its divisors is an integer number (407745738000).

Almost surely, 2^{41435555553414} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41435555553414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52191454464000).

41435555553414 is an abundant number, since it is smaller than the sum of its proper divisors (62947353374586).

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

41435555553414 is a wasteful number, since it uses less digits than its factorization.

41435555553414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12140 (or 12134 counting only the distinct ones).

The product of its digits is 36000000, while the sum is 54.

It can be divided in two parts, 4143555 and 5553414, that added together give a palindrome (9696969).

The spelling of 41435555553414 in words is "forty-one trillion, four hundred thirty-five billion, five hundred fifty-five million, five hundred fifty-three thousand, four hundred fourteen".