425782310400 has 960 divisors, whose sum is σ = 1619646336000. Its totient is φ = 109486080000.

The previous prime is 425782310381. The next prime is 425782310423. The reversal of 425782310400 is 4013287524.

It is a happy number.

425782310400 is a `hidden beast` number, since 42 + 578 + 2 + 3 + 1 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2139609501 + ... + 2139609699.

It is an arithmetic number, because the mean of its divisors is an integer number (1687131600).

Almost surely, 2^425782310400 is an apocalyptic number.

425782310400 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 425782310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809823168000).

425782310400 is an abundant number, since it is smaller than the sum of its proper divisors (1193864025600).

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

425782310400 is a wasteful number, since it uses less digits than its factorization.

425782310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 425782310400 its reverse (4013287524), we get a palindrome (429795597924).

The spelling of 425782310400 in words is "four hundred twenty-five billion, seven hundred eighty-two million, three hundred ten thousand, four hundred".