4102256400 has 480 divisors, whose sum is σ = 15413763456. Its totient is φ = 921600000.

The previous prime is 4102256377. The next prime is 4102256407. The reversal of 4102256400 is 46522014.

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

It is not an unprimeable number, because it can be changed into a prime (4102256407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22664310 + ... + 22664490.

Almost surely, 2^4102256400 is an apocalyptic number.

4102256400 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 4102256400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7706881728).

4102256400 is an abundant number, since it is smaller than the sum of its proper divisors (11311507056).

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

4102256400 is a wasteful number, since it uses less digits than its factorization.

4102256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 320 counting only the distinct ones).

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

The square root of 4102256400 is about 64048.8594746230. The cubic root of 4102256400 is about 1600.8142209990.

Adding to 4102256400 its reverse (46522014), we get a palindrome (4148778414).

The spelling of 4102256400 in words is "four billion, one hundred two million, two hundred fifty-six thousand, four hundred".