4380750400 has 252 divisors, whose sum is σ = 12371928012. Its totient is φ = 1520762880.

The previous prime is 4380750377. The next prime is 4380750463. The reversal of 4380750400 is 40570834.

It can be written as a sum of positive squares in 18 ways, for example, as 3841024576 + 539725824 = 61976^2 + 23232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4596324 + ... + 4597276.

Almost surely, 2^4380750400 is an apocalyptic number.

4380750400 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 4380750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6185964006).

4380750400 is an abundant number, since it is smaller than the sum of its proper divisors (7991177612).

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

4380750400 is a wasteful number, since it uses less digits than its factorization.

4380750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 4380750400 is about 66187.2374404613. The cubic root of 4380750400 is about 1636.2494105078.

The spelling of 4380750400 in words is "four billion, three hundred eighty million, seven hundred fifty thousand, four hundred".