4085668355400 has 384 divisors, whose sum is σ = 15291402240000. Its totient is φ = 998872300800.

The previous prime is 4085668355371. The next prime is 4085668355411. The reversal of 4085668355400 is 45538665804.

4085668355400 is a `hidden beast` number, since 4 + 0 + 8 + 5 + 6 + 6 + 83 + 554 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2538321 + ... + 3822879.

It is an arithmetic number, because the mean of its divisors is an integer number (39821360000).

Almost surely, 2^{4085668355400} is an apocalyptic number.

4085668355400 is a gapful number since it is divisible by the number (40) 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 4085668355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645701120000).

4085668355400 is an abundant number, since it is smaller than the sum of its proper divisors (11205733884600).

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

4085668355400 is a wasteful number, since it uses less digits than its factorization.

4085668355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284634 (or 1284619 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 4085668355400 in words is "four trillion, eighty-five billion, six hundred sixty-eight million, three hundred fifty-five thousand, four hundred".