425556311040 has 1056 divisors, whose sum is σ = 1749132088704. Its totient is φ = 93640458240.

The previous prime is 425556310999. The next prime is 425556311051. The reversal of 425556311040 is 40113655524.

425556311040 is a `hidden beast` number, since 4 + 2 + 5 + 5 + 5 + 631 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 425556310986 and 425556311004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2160184222 + ... + 2160184418.

It is an arithmetic number, because the mean of its divisors is an integer number (1656375084).

Almost surely, 2^425556311040 is an apocalyptic number.

425556311040 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 425556311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874566044352).

425556311040 is an abundant number, since it is smaller than the sum of its proper divisors (1323575777664).

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

425556311040 is a wasteful number, since it uses less digits than its factorization.

425556311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 425556311040 its reverse (40113655524), we get a palindrome (465669966564).

The spelling of 425556311040 in words is "four hundred twenty-five billion, five hundred fifty-six million, three hundred eleven thousand, forty".