34402413324240 has 120 divisors (see below), whose sum is σ = 124422061556520. Its totient is φ = 8468286354432.

The previous prime is 34402413324179. The next prime is 34402413324263. The reversal of 34402413324240 is 4242331420443.

34402413324240 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 241 + 332 + 42 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5173637184 + 34397239687056 = 71928^2 + 5864916^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34402413324195 and 34402413324204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1837726395 + ... + 1837745114.

It is an arithmetic number, because the mean of its divisors is an integer number (1036850512971).

Almost surely, 2^{34402413324240} is an apocalyptic number.

34402413324240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34402413324240 is an abundant number, since it is smaller than the sum of its proper divisors (90019648232280).

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

34402413324240 is a wasteful number, since it uses less digits than its factorization.

34402413324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3675471541 (or 3675471532 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34402413324240 its reverse (4242331420443), we get a palindrome (38644744744683).

The spelling of 34402413324240 in words is "thirty-four trillion, four hundred two billion, four hundred thirteen million, three hundred twenty-four thousand, two hundred forty".