425621629440 has 480 divisors, whose sum is σ = 1707749911296. Its totient is φ = 95949619200.

The previous prime is 425621629417. The next prime is 425621629441. The reversal of 425621629440 is 44926126524.

It is a happy number.

425621629440 is a `hidden beast` number, since 42 + 5 + 6 + 2 + 162 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (425621629441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11755365 + ... + 11791515.

Almost surely, 2^425621629440 is an apocalyptic number.

425621629440 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 425621629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (853874955648).

425621629440 is an abundant number, since it is smaller than the sum of its proper divisors (1282128281856).

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

425621629440 is a wasteful number, since it uses less digits than its factorization.

425621629440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36260 (or 36241 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 425621629440 in words is "four hundred twenty-five billion, six hundred twenty-one million, six hundred twenty-nine thousand, four hundred forty".