414029138789 has 24 divisors (see below), whose sum is σ = 497907260928. Its totient is φ = 343055381760.

The previous prime is 414029138749. The next prime is 414029138807. The reversal of 414029138789 is 987831920414.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-414029138789 is a prime.

It is a super-2 number, since 2×414029138789² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414029138729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 808517 + ... + 1217274.

It is an arithmetic number, because the mean of its divisors is an integer number (20746135872).

Almost surely, 2^414029138789 is an apocalyptic number.

414029138789 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

414029138789 is a deficient number, since it is larger than the sum of its proper divisors (83878122139).

414029138789 is a wasteful number, since it uses less digits than its factorization.

414029138789 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025945 (or 2025938 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 56.

The spelling of 414029138789 in words is "four hundred fourteen billion, twenty-nine million, one hundred thirty-eight thousand, seven hundred eighty-nine".