4195217426400 has 3456 divisors, whose sum is σ = 21225441484800. Its totient is φ = 777351168000.

The previous prime is 4195217426383. The next prime is 4195217426467. The reversal of 4195217426400 is 46247125914.

4195217426400 is a `hidden beast` number, since 4 + 1 + 9 + 5 + 217 + 4 + 26 + 400 = 666.

4195217426400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 7372965316 + ... + 7372965884.

It is an arithmetic number, because the mean of its divisors is an integer number (6141620800).

Almost surely, 2^{4195217426400} is an apocalyptic number.

4195217426400 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 4195217426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10612720742400).

4195217426400 is an abundant number, since it is smaller than the sum of its proper divisors (17030224058400).

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

4195217426400 is a wasteful number, since it uses less digits than its factorization.

4195217426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 4195217426400 in words is "four trillion, one hundred ninety-five billion, two hundred seventeen million, four hundred twenty-six thousand, four hundred".