4201256400 has 240 divisors, whose sum is σ = 15156553728. Its totient is φ = 985536000.

The previous prime is 4201256317. The next prime is 4201256441. The reversal of 4201256400 is 46521024.

4201256400 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 404067 + ... + 414333.

Almost surely, 2^4201256400 is an apocalyptic number.

4201256400 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 4201256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578276864).

4201256400 is an abundant number, since it is smaller than the sum of its proper divisors (10955297328).

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

4201256400 is a wasteful number, since it uses less digits than its factorization.

4201256400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4201256400 is about 64817.0995957085. The cubic root of 4201256400 is about 1613.5895118700.

Adding to 4201256400 its reverse (46521024), we get a palindrome (4247777424).

The spelling of 4201256400 in words is "four billion, two hundred one million, two hundred fifty-six thousand, four hundred".