34051205432240 has 80 divisors (see below), whose sum is σ = 85588165146720. Its totient is φ = 12554868326400.

The previous prime is 34051205432219. The next prime is 34051205432311. The reversal of 34051205432240 is 4223450215043.

It is a happy number.

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

It is a super-2 number, since 2×34051205432240² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34051205432240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302674961 + ... + 302787440.

It is an arithmetic number, because the mean of its divisors is an integer number (1069852064334).

Almost surely, 2^{34051205432240} is an apocalyptic number.

It is an amenable number.

34051205432240 is an abundant number, since it is smaller than the sum of its proper divisors (51536959714480).

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

34051205432240 is a wasteful number, since it uses less digits than its factorization.

34051205432240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605462470 (or 605462464 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 34051205432240 its reverse (4223450215043), we get a palindrome (38274655647283).

The spelling of 34051205432240 in words is "thirty-four trillion, fifty-one billion, two hundred five million, four hundred thirty-two thousand, two hundred forty".