425289446400 has 1584 divisors, whose sum is σ = 1807482789888. Its totient is φ = 86261760000.

The previous prime is 425289446377. The next prime is 425289446411. The reversal of 425289446400 is 4644982524.

It is a super-2 number, since 2×425289446400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 425289446400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2816486325 + ... + 2816486475.

Almost surely, 2^425289446400 is an apocalyptic number.

425289446400 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 425289446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903741394944).

425289446400 is an abundant number, since it is smaller than the sum of its proper divisors (1382193343488).

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

425289446400 is a wasteful number, since it uses less digits than its factorization.

425289446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 48.

The spelling of 425289446400 in words is "four hundred twenty-five billion, two hundred eighty-nine million, four hundred forty-six thousand, four hundred".