4113228254400 has 2688 divisors, whose sum is σ = 17786118758400. Its totient is φ = 917294284800.

The previous prime is 4113228254393. The next prime is 4113228254423. The reversal of 4113228254400 is 44528223114.

4113228254400 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 228 + 25 + 4 + 400 = 666.

4113228254400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4113228254400² (a number of 26 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 16004779072 + ... + 16004779328.

Almost surely, 2^{4113228254400} is an apocalyptic number.

4113228254400 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 4113228254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8893059379200).

4113228254400 is an abundant number, since it is smaller than the sum of its proper divisors (13672890504000).

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

4113228254400 is a wasteful number, since it uses less digits than its factorization.

4113228254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4113228254400 in words is "four trillion, one hundred thirteen billion, two hundred twenty-eight million, two hundred fifty-four thousand, four hundred".