414042144040 has 128 divisors (see below), whose sum is σ = 1087722224640. Its totient is φ = 138887156736.

The previous prime is 414042144007. The next prime is 414042144049. The reversal of 414042144040 is 40441240414.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (414042144049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66810222 + ... + 66816418.

It is an arithmetic number, because the mean of its divisors is an integer number (8497829880).

Almost surely, 2^414042144040 is an apocalyptic number.

414042144040 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 414042144040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543861112320).

414042144040 is an abundant number, since it is smaller than the sum of its proper divisors (673680080600).

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

414042144040 is a wasteful number, since it uses less digits than its factorization.

414042144040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339 (or 11335 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 414042144040 its reverse (40441240414), we get a palindrome (454483384454).

The spelling of 414042144040 in words is "four hundred fourteen billion, forty-two million, one hundred forty-four thousand, forty".