4102414000440 has 64 divisors (see below), whose sum is σ = 14065419432960. Its totient is φ = 937694628480.

The previous prime is 4102414000381. The next prime is 4102414000493. The reversal of 4102414000440 is 440004142014.

It is a happy number.

It is a super-2 number, since 2×4102414000440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4102414000440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2441912256 + ... + 2441913935.

It is an arithmetic number, because the mean of its divisors is an integer number (219772178640).

Almost surely, 2^{4102414000440} is an apocalyptic number.

4102414000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4102414000440 is an abundant number, since it is smaller than the sum of its proper divisors (9963005432520).

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

4102414000440 is a wasteful number, since it uses less digits than its factorization.

4102414000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4883826212 (or 4883826208 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4102414000440 its reverse (440004142014), we get a palindrome (4542418142454).

The spelling of 4102414000440 in words is "four trillion, one hundred two billion, four hundred fourteen million, four hundred forty", and thus it is an aban number.