425460078126720 has 4608 divisors, whose sum is σ = 2018032144128000. Its totient is φ = 84913752784896.

The previous prime is 425460078126697. The next prime is 425460078126731. The reversal of 425460078126720 is 27621870064524.

425460078126720 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 600 + 7 + 8 + 1 + 2 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 645614685751 + ... + 645614686409.

It is an arithmetic number, because the mean of its divisors is an integer number (437941003500).

Almost surely, 2^{425460078126720} is an apocalyptic number.

425460078126720 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 425460078126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009016072064000).

425460078126720 is an abundant number, since it is smaller than the sum of its proper divisors (1592572066001280).

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

425460078126720 is an frugal number, since it uses more digits than its factorization.

425460078126720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 425460078126720 in words is "four hundred twenty-five trillion, four hundred sixty billion, seventy-eight million, one hundred twenty-six thousand, seven hundred twenty".