425084134800 has 960 divisors, whose sum is σ = 1607867089920. Its totient is φ = 95083683840.

The previous prime is 425084134799. The next prime is 425084134801. The reversal of 425084134800 is 8431480524.

425084134800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (425084134799) and next prime (425084134801).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (425084134801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 910244167 + ... + 910244633.

It is an arithmetic number, because the mean of its divisors is an integer number (1674861552).

Almost surely, 2^425084134800 is an apocalyptic number.

425084134800 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 425084134800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (803933544960).

425084134800 is an abundant number, since it is smaller than the sum of its proper divisors (1182782955120).

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

425084134800 is a wasteful number, since it uses less digits than its factorization.

425084134800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The spelling of 425084134800 in words is "four hundred twenty-five billion, eighty-four million, one hundred thirty-four thousand, eight hundred".