4073430400 has 96 divisors (see below), whose sum is σ = 10836806400. Its totient is φ = 1504020480.

The previous prime is 4073430379. The next prime is 4073430419. The reversal of 4073430400 is 40343704.

4073430400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7360 + ... + 90559.

It is an arithmetic number, because the mean of its divisors is an integer number (112883400).

Almost surely, 2^4073430400 is an apocalyptic number.

4073430400 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 4073430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5418403200).

4073430400 is an abundant number, since it is smaller than the sum of its proper divisors (6763376000).

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

4073430400 is a wasteful number, since it uses less digits than its factorization.

4073430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97956 (or 97939 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 25.

The square root of 4073430400 is about 63823.4314339177. The cubic root of 4073430400 is about 1597.0558357585.

The spelling of 4073430400 in words is "four billion, seventy-three million, four hundred thirty thousand, four hundred".