4073846400 has 864 divisors, whose sum is σ = 16850171520. Its totient is φ = 970444800.

The previous prime is 4073846393. The next prime is 4073846429. The reversal of 4073846400 is 46483704.

4073846400 is a `hidden beast` number, since 4 + 0 + 7 + 3 + 8 + 4 + 640 + 0 = 666.

4073846400 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 (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 131414385 + ... + 131414415.

Almost surely, 2^4073846400 is an apocalyptic number.

4073846400 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 4073846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8425085760).

4073846400 is an abundant number, since it is smaller than the sum of its proper divisors (12776325120).

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

4073846400 is a wasteful number, since it uses less digits than its factorization.

4073846400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4073846400 is about 63826.6903418938. The cubic root of 4073846400 is about 1597.1102004706.

The spelling of 4073846400 in words is "four billion, seventy-three million, eight hundred forty-six thousand, four hundred".