414440034040 has 32 divisors (see below), whose sum is σ = 932655366000. Its totient is φ = 165746628864.

The previous prime is 414440034013. The next prime is 414440034077. The reversal of 414440034040 is 40430044414.

It is a super-3 number, since 3×414440034040³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 689085 + ... + 1141804.

Almost surely, 2^414440034040 is an apocalyptic number.

414440034040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414440034040 is an abundant number, since it is smaller than the sum of its proper divisors (518215331960).

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

414440034040 is a wasteful number, since it uses less digits than its factorization.

414440034040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1836559 (or 1836555 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 414440034040 its reverse (40430044414), we get a palindrome (454870078454).

The spelling of 414440034040 in words is "four hundred fourteen billion, four hundred forty million, thirty-four thousand, forty".