425044250400 has 864 divisors, whose sum is σ = 1813737913344. Its totient is φ = 84471552000.

The previous prime is 425044250369. The next prime is 425044250441. The reversal of 425044250400 is 4052440524.

It is a super-2 number, since 2×425044250400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46749855 + ... + 46758945.

It is an arithmetic number, because the mean of its divisors is an integer number (2099233696).

Almost surely, 2^425044250400 is an apocalyptic number.

425044250400 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 425044250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906868956672).

425044250400 is an abundant number, since it is smaller than the sum of its proper divisors (1388693662944).

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

425044250400 is a wasteful number, since it uses less digits than its factorization.

425044250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9166 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

Adding to 425044250400 its reverse (4052440524), we get a palindrome (429096690924).

It can be divided in two parts, 42504 and 4250400, that multiplied together give a square (180659001600 = 425040²).

The spelling of 425044250400 in words is "four hundred twenty-five billion, forty-four million, two hundred fifty thousand, four hundred".