414334340740 has 48 divisors (see below), whose sum is σ = 912783271680. Its totient is φ = 157764978560.

The previous prime is 414334340731. The next prime is 414334340741. The reversal of 414334340740 is 47043433414.

It is a super-3 number, since 3×414334340740³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 414334340740.

It is not an unprimeable number, because it can be changed into a prime (414334340741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4989592 + ... + 5071951.

It is an arithmetic number, because the mean of its divisors is an integer number (19016318160).

Almost surely, 2^414334340740 is an apocalyptic number.

It is an amenable number.

414334340740 is an abundant number, since it is smaller than the sum of its proper divisors (498448930940).

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

414334340740 is a wasteful number, since it uses less digits than its factorization.

414334340740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061652 (or 10061650 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 37.

The spelling of 414334340740 in words is "four hundred fourteen billion, three hundred thirty-four million, three hundred forty thousand, seven hundred forty".