425461456645200 has 480 divisors, whose sum is σ = 1533640680000000. Its totient is φ = 112009687695360.

The previous prime is 425461456645193. The next prime is 425461456645237. The reversal of 425461456645200 is 2546654164524.

425461456645200 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 6 + 1 + 4 + 56 + 64 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 13863631456 + ... + 13863662144.

It is an arithmetic number, because the mean of its divisors is an integer number (3195084750000).

Almost surely, 2^{425461456645200} is an apocalyptic number.

425461456645200 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 425461456645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766820340000000).

425461456645200 is an abundant number, since it is smaller than the sum of its proper divisors (1108179223354800).

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

425461456645200 is a wasteful number, since it uses less digits than its factorization.

425461456645200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47044 (or 47027 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 54.

The spelling of 425461456645200 in words is "four hundred twenty-five trillion, four hundred sixty-one billion, four hundred fifty-six million, six hundred forty-five thousand, two hundred".