414041012441140 has 192 divisors, whose sum is σ = 1002765272560128. Its totient is φ = 140668574054400.

The previous prime is 414041012441137. The next prime is 414041012441141. The reversal of 414041012441140 is 41144210140414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414041012441141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7117624255 + ... + 7117682425.

It is an arithmetic number, because the mean of its divisors is an integer number (5222735794584).

Almost surely, 2^{414041012441140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414041012441140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501382636280064).

414041012441140 is an abundant number, since it is smaller than the sum of its proper divisors (588724260118988).

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

414041012441140 is a wasteful number, since it uses less digits than its factorization.

414041012441140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59418 (or 59416 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

Adding to 414041012441140 its reverse (41144210140414), we get a palindrome (455185222581554).

The spelling of 414041012441140 in words is "four hundred fourteen trillion, forty-one billion, twelve million, four hundred forty-one thousand, one hundred forty".