4451198400 has 1344 divisors, whose sum is σ = 20409408000. Its totient is φ = 928972800.

The previous prime is 4451198347. The next prime is 4451198491. The reversal of 4451198400 is 48911544.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 153489586 + ... + 153489614.

Almost surely, 2^4451198400 is an apocalyptic number.

4451198400 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 4451198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10204704000).

4451198400 is an abundant number, since it is smaller than the sum of its proper divisors (15958209600).

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

4451198400 is a wasteful number, since it uses less digits than its factorization.

4451198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 4451198400 is about 66717.3021037272. The cubic root of 4451198400 is about 1644.9737957104.

The spelling of 4451198400 in words is "four billion, four hundred fifty-one million, one hundred ninety-eight thousand, four hundred".