4121582400 has 672 divisors, whose sum is σ = 16667683200. Its totient is φ = 984268800.

The previous prime is 4121582321. The next prime is 4121582419. The reversal of 4121582400 is 42851214.

4121582400 is a `hidden beast` number, since 41 + 2 + 1 + 582 + 40 + 0 = 666.

4121582400 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23025511 + ... + 23025689.

It is an arithmetic number, because the mean of its divisors is an integer number (24803100).

Almost surely, 2^4121582400 is an apocalyptic number.

4121582400 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 4121582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8333841600).

4121582400 is an abundant number, since it is smaller than the sum of its proper divisors (12546100800).

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

4121582400 is a wasteful number, since it uses less digits than its factorization.

4121582400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4121582400 is about 64199.5514003019. The cubic root of 4121582400 is about 1603.3241307308.

The spelling of 4121582400 in words is "four billion, one hundred twenty-one million, five hundred eighty-two thousand, four hundred".