4278518400 has 192 divisors, whose sum is σ = 15176841120. Its totient is φ = 1053143040.

The previous prime is 4278518369. The next prime is 4278518423. The reversal of 4278518400 is 48158724.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107659 + ... + 141941.

Almost surely, 2^4278518400 is an apocalyptic number.

4278518400 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 4278518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588420560).

4278518400 is an abundant number, since it is smaller than the sum of its proper divisors (10898322720).

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

4278518400 is a wasteful number, since it uses less digits than its factorization.

4278518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34323 (or 34306 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 4278518400 is about 65410.3844966531. The cubic root of 4278518400 is about 1623.4209070399.

The spelling of 4278518400 in words is "four billion, two hundred seventy-eight million, five hundred eighteen thousand, four hundred".