4102478582400 has 1536 divisors, whose sum is σ = 16744778265600. Its totient is φ = 972601344000.

The previous prime is 4102478582393. The next prime is 4102478582407. The reversal of 4102478582400 is 42858742014.

4102478582400 is a `hidden beast` number, since 4 + 1 + 0 + 24 + 7 + 8 + 582 + 40 + 0 = 666.

4102478582400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4102478582393) and next prime (4102478582407).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4102478582407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10333699002 + ... + 10333699398.

It is an arithmetic number, because the mean of its divisors is an integer number (10901548350).

Almost surely, 2^{4102478582400} is an apocalyptic number.

4102478582400 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 4102478582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372389132800).

4102478582400 is an abundant number, since it is smaller than the sum of its proper divisors (12642299683200).

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

4102478582400 is a wasteful number, since it uses less digits than its factorization.

4102478582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 4102478582400 in words is "four trillion, one hundred two billion, four hundred seventy-eight million, five hundred eighty-two thousand, four hundred".