4082085609408 has 112 divisors (see below), whose sum is σ = 12066878197920. Its totient is φ = 1353177446400.

The previous prime is 4082085609389. The next prime is 4082085609421. The reversal of 4082085609408 is 8049065802804.

4082085609408 is a `hidden beast` number, since 4 + 0 + 8 + 20 + 8 + 5 + 609 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×4082085609408² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6212973 + ... + 6838508.

It is an arithmetic number, because the mean of its divisors is an integer number (107739983910).

Almost surely, 2^{4082085609408} is an apocalyptic number.

4082085609408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4082085609408 is an abundant number, since it is smaller than the sum of its proper divisors (7984792588512).

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

4082085609408 is a wasteful number, since it uses less digits than its factorization.

4082085609408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13051683 (or 13051667 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 4082085609408 in words is "four trillion, eighty-two billion, eighty-five million, six hundred nine thousand, four hundred eight".