34023431220240 has 640 divisors, whose sum is σ = 135996415672320. Its totient is φ = 6831781632000.

The previous prime is 34023431220209. The next prime is 34023431220269. The reversal of 34023431220240 is 4202213432043.

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 = 34023431220198 and 34023431220207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68368315 + ... + 68864165.

It is an arithmetic number, because the mean of its divisors is an integer number (212494399488).

Almost surely, 2^{34023431220240} is an apocalyptic number.

34023431220240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34023431220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67998207836160).

34023431220240 is an abundant number, since it is smaller than the sum of its proper divisors (101972984452080).

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

34023431220240 is a wasteful number, since it uses less digits than its factorization.

34023431220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496011 (or 496005 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34023431220240 its reverse (4202213432043), we get a palindrome (38225644652283).

The spelling of 34023431220240 in words is "thirty-four trillion, twenty-three billion, four hundred thirty-one million, two hundred twenty thousand, two hundred forty".