4197646342400 has 432 divisors, whose sum is σ = 12365469392640. Its totient is φ = 1380298752000.

The previous prime is 4197646342349. The next prime is 4197646342453. The reversal of 4197646342400 is 42436467914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196168502 + ... + 196189898.

Almost surely, 2^{4197646342400} is an apocalyptic number.

4197646342400 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 4197646342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6182734696320).

4197646342400 is an abundant number, since it is smaller than the sum of its proper divisors (8167823050240).

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

4197646342400 is a wasteful number, since it uses less digits than its factorization.

4197646342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21610 (or 21591 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 50.

The spelling of 4197646342400 in words is "four trillion, one hundred ninety-seven billion, six hundred forty-six million, three hundred forty-two thousand, four hundred".