34430021430040 has 128 divisors (see below), whose sum is σ = 81156045864960. Its totient is φ = 13121112052224.

The previous prime is 34430021430037. The next prime is 34430021430143. The reversal of 34430021430040 is 4003412003443.

It is a super-2 number, since 2×34430021430040² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34430021429990 and 34430021430008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270003177 + ... + 270130663.

It is an arithmetic number, because the mean of its divisors is an integer number (634031608320).

Almost surely, 2^{34430021430040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34430021430040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40578022932480).

34430021430040 is an abundant number, since it is smaller than the sum of its proper divisors (46726024434920).

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

34430021430040 is a wasteful number, since it uses less digits than its factorization.

34430021430040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128681 (or 128677 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 34430021430040 its reverse (4003412003443), we get a palindrome (38433433433483).

The spelling of 34430021430040 in words is "thirty-four trillion, four hundred thirty billion, twenty-one million, four hundred thirty thousand, forty".