4168212400 has 240 divisors, whose sum is σ = 11674074240. Its totient is φ = 1414195200.

The previous prime is 4168212379. The next prime is 4168212431. The reversal of 4168212400 is 42128614.

It is a super-2 number, since 2×4168212400² = 34747989223027520000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6102459 + ... + 6103141.

It is an arithmetic number, because the mean of its divisors is an integer number (48641976).

Almost surely, 2^4168212400 is an apocalyptic number.

4168212400 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 4168212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837037120).

4168212400 is an abundant number, since it is smaller than the sum of its proper divisors (7505861840).

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

4168212400 is a wasteful number, since it uses less digits than its factorization.

4168212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 4168212400 is about 64561.6945254692. The cubic root of 4168212400 is about 1609.3479349582.

The spelling of 4168212400 in words is "four billion, one hundred sixty-eight million, two hundred twelve thousand, four hundred".