4168998400 has 540 divisors, whose sum is σ = 13318698888. Its totient is φ = 1286799360.

The previous prime is 4168998397. The next prime is 4168998409. The reversal of 4168998400 is 48998614.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4168998409) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 181260789 + ... + 181260811.

Almost surely, 2^4168998400 is an apocalyptic number.

4168998400 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 4168998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659349444).

4168998400 is an abundant number, since it is smaller than the sum of its proper divisors (9149700488).

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

4168998400 is a wasteful number, since it uses less digits than its factorization.

4168998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 4168998400 is about 64567.7814393526. The cubic root of 4168998400 is about 1609.4490868712.

The spelling of 4168998400 in words is "four billion, one hundred sixty-eight million, nine hundred ninety-eight thousand, four hundred".