425905327411200 has 2496 divisors, whose sum is σ = 2038977992056320. Its totient is φ = 84574533058560.

The previous prime is 425905327411171. The next prime is 425905327411243. The reversal of 425905327411200 is 2114723509524.

425905327411200 is a `hidden beast` number, since 4 + 2 + 5 + 9 + 0 + 5 + 3 + 27 + 411 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4277095812 + ... + 4277195388.

Almost surely, 2^{425905327411200} is an apocalyptic number.

425905327411200 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 425905327411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019488996028160).

425905327411200 is an abundant number, since it is smaller than the sum of its proper divisors (1613072664645120).

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

425905327411200 is a wasteful number, since it uses less digits than its factorization.

425905327411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99657 (or 99624 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 425905327411200 in words is "four hundred twenty-five trillion, nine hundred five billion, three hundred twenty-seven million, four hundred eleven thousand, two hundred".