20340600346440 has 192 divisors, whose sum is σ = 72120332793600. Its totient is φ = 4930804454400.

The previous prime is 20340600346403. The next prime is 20340600346481. The reversal of 20340600346440 is 4464300604302.

20340600346440 is a `hidden beast` number, since 2 + 0 + 3 + 4 + 0 + 6 + 0 + 0 + 3 + 4 + 644 + 0 = 666.

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 = 20340600346395 and 20340600346404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84945201 + ... + 85184319.

It is an arithmetic number, because the mean of its divisors is an integer number (375626733300).

Almost surely, 2^{20340600346440} is an apocalyptic number.

20340600346440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20340600346440 is an abundant number, since it is smaller than the sum of its proper divisors (51779732447160).

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

20340600346440 is a wasteful number, since it uses less digits than its factorization.

20340600346440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260628 (or 260621 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

The spelling of 20340600346440 in words is "twenty trillion, three hundred forty billion, six hundred million, three hundred forty-six thousand, four hundred forty".