34424034011040 has 192 divisors, whose sum is σ = 116980586747136. Its totient is φ = 8476743155712.

The previous prime is 34424034011033. The next prime is 34424034011063. The reversal of 34424034011040 is 4011043042443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 34424034010989 and 34424034011007.

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, 39365932 + ... + 40230891.

It is an arithmetic number, because the mean of its divisors is an integer number (609273889308).

Almost surely, 2^{34424034011040} is an apocalyptic number.

34424034011040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34424034011040 is an abundant number, since it is smaller than the sum of its proper divisors (82556552736096).

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

34424034011040 is a wasteful number, since it uses less digits than its factorization.

34424034011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79596911 (or 79596903 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 34424034011040 its reverse (4011043042443), we get a palindrome (38435077053483).

The spelling of 34424034011040 in words is "thirty-four trillion, four hundred twenty-four billion, thirty-four million, eleven thousand, forty".