425731033728 has 2560 divisors, whose sum is σ = 1910897049600. Its totient is φ = 90296156160.

The previous prime is 425731033727. The next prime is 425731033759. The reversal of 425731033728 is 827330137524.

It is a happy number.

425731033728 is a `hidden beast` number, since 4 + 2 + 573 + 1 + 0 + 3 + 3 + 72 + 8 = 666.

It is a super-2 number, since 2×425731033728² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (425731033727) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3352212801 + ... + 3352212927.

It is an arithmetic number, because the mean of its divisors is an integer number (746444160).

Almost surely, 2^425731033728 is an apocalyptic number.

425731033728 is a gapful number since it is divisible by the number (48) 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 425731033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955448524800).

425731033728 is an abundant number, since it is smaller than the sum of its proper divisors (1485166015872).

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

425731033728 is a wasteful number, since it uses less digits than its factorization.

425731033728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 425731033728 in words is "four hundred twenty-five billion, seven hundred thirty-one million, thirty-three thousand, seven hundred twenty-eight".