4027406745600 has 1296 divisors, whose sum is σ = 17231288533200. Its totient is φ = 919559208960.

The previous prime is 4027406745493. The next prime is 4027406745647. The reversal of 4027406745600 is 65476047204.

4027406745600 is a `hidden beast` number, since 4 + 0 + 27 + 4 + 0 + 67 + 4 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4335205936 + ... + 4335206864.

It is an arithmetic number, because the mean of its divisors is an integer number (13295747325).

Almost surely, 2^{4027406745600} is an apocalyptic number.

4027406745600 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 4027406745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8615644266600).

4027406745600 is an abundant number, since it is smaller than the sum of its proper divisors (13203881787600).

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

4027406745600 is an frugal number, since it uses more digits than its factorization.

4027406745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 4027406745600 in words is "four trillion, twenty-seven billion, four hundred six million, seven hundred forty-five thousand, six hundred".