425383358400 has 2016 divisors, whose sum is σ = 2107091470848. Its totient is φ = 81517363200.

The previous prime is 425383358357. The next prime is 425383358417. The reversal of 425383358400 is 4853383524.

425383358400 is a `hidden beast` number, since 4 + 2 + 5 + 38 + 33 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 389188254 + ... + 389189346.

Almost surely, 2^425383358400 is an apocalyptic number.

425383358400 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 425383358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053545735424).

425383358400 is an abundant number, since it is smaller than the sum of its proper divisors (1681708112448).

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

425383358400 is a wasteful number, since it uses less digits than its factorization.

425383358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 425383358400 in words is "four hundred twenty-five billion, three hundred eighty-three million, three hundred fifty-eight thousand, four hundred".