4147023966400 has 336 divisors, whose sum is σ = 11748018078720. Its totient is φ = 1411379712000.

The previous prime is 4147023966361. The next prime is 4147023966409. The reversal of 4147023966400 is 46693207414.

4147023966400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (4147023966409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625645125 + ... + 1625647675.

It is an arithmetic number, because the mean of its divisors is an integer number (34964339520).

Almost surely, 2^{4147023966400} is an apocalyptic number.

4147023966400 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 4147023966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5874009039360).

4147023966400 is an abundant number, since it is smaller than the sum of its proper divisors (7600994112320).

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

4147023966400 is a wasteful number, since it uses less digits than its factorization.

4147023966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3592 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 4147023966400 in words is "four trillion, one hundred forty-seven billion, twenty-three million, nine hundred sixty-six thousand, four hundred".