425335145245920 has 2304 divisors, whose sum is σ = 1869995269029888. Its totient is φ = 85627822325760.

The previous prime is 425335145245883. The next prime is 425335145245921. The reversal of 425335145245920 is 29542541533524.

425335145245920 is a `hidden beast` number, since 4 + 2 + 5 + 3 + 3 + 5 + 1 + 45 + 2 + 4 + 592 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425335145245921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 230284322437 + ... + 230284324283.

It is an arithmetic number, because the mean of its divisors is an integer number (811629891072).

Almost surely, 2^{425335145245920} is an apocalyptic number.

425335145245920 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 425335145245920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934997634514944).

425335145245920 is an abundant number, since it is smaller than the sum of its proper divisors (1444660123783968).

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

425335145245920 is a wasteful number, since it uses less digits than its factorization.

425335145245920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 25920000, while the sum is 54.

The spelling of 425335145245920 in words is "four hundred twenty-five trillion, three hundred thirty-five billion, one hundred forty-five million, two hundred forty-five thousand, nine hundred twenty".