4073414400 has 432 divisors, whose sum is σ = 16302289920. Its totient is φ = 987033600.

The previous prime is 4073414363. The next prime is 4073414417. The reversal of 4073414400 is 44143704.

4073414400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1899729 + ... + 1901871.

Almost surely, 2^4073414400 is an apocalyptic number.

4073414400 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 4073414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8151144960).

4073414400 is an abundant number, since it is smaller than the sum of its proper divisors (12228875520).

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

4073414400 is a wasteful number, since it uses less digits than its factorization.

4073414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2189 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4073414400 is about 63823.3060879801. The cubic root of 4073414400 is about 1597.0537447342.

The spelling of 4073414400 in words is "four billion, seventy-three million, four hundred fourteen thousand, four hundred".