414343101040 has 80 divisors (see below), whose sum is σ = 1053627251040. Its totient is φ = 150282767360.

The previous prime is 414343101037. The next prime is 414343101061. The reversal of 414343101040 is 40101343414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 414343100996 and 414343101014.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 262879 + ... + 947518.

It is an arithmetic number, because the mean of its divisors is an integer number (13170340638).

Almost surely, 2^414343101040 is an apocalyptic number.

414343101040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414343101040 is an abundant number, since it is smaller than the sum of its proper divisors (639284150000).

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

414343101040 is a wasteful number, since it uses less digits than its factorization.

414343101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210810 (or 1210804 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 414343101040 its reverse (40101343414), we get a palindrome (454444444454).

The spelling of 414343101040 in words is "four hundred fourteen billion, three hundred forty-three million, one hundred one thousand, forty".