34523455320040 has 128 divisors (see below), whose sum is σ = 79671365683200. Its totient is φ = 13459604336640.

The previous prime is 34523455319909. The next prime is 34523455320077. The reversal of 34523455320040 is 4002355432543.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 34523455319975 and 34523455320002.

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, 473724805 + ... + 473797675.

It is an arithmetic number, because the mean of its divisors is an integer number (622432544400).

Almost surely, 2^{34523455320040} 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 34523455320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39835682841600).

34523455320040 is an abundant number, since it is smaller than the sum of its proper divisors (45147910363160).

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

34523455320040 is a wasteful number, since it uses less digits than its factorization.

34523455320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74867 (or 74863 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 40.

The spelling of 34523455320040 in words is "thirty-four trillion, five hundred twenty-three billion, four hundred fifty-five million, three hundred twenty thousand, forty".