426439714236480 has 2688 divisors, whose sum is σ = 1843395006136320. Its totient is φ = 91789148160000.

The previous prime is 426439714236457. The next prime is 426439714236541. The reversal of 426439714236480 is 84632417934624.

426439714236480 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 3 + 9 + 7 + 142 + 3 + 6 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 100551687160 + ... + 100551691400.

It is an arithmetic number, because the mean of its divisors is an integer number (685786832640).

Almost surely, 2^{426439714236480} is an apocalyptic number.

426439714236480 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 426439714236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921697503068160).

426439714236480 is an abundant number, since it is smaller than the sum of its proper divisors (1416955291899840).

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

426439714236480 is a wasteful number, since it uses less digits than its factorization.

426439714236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4449 counting only the distinct ones).

The product of its (nonzero) digits is 167215104, while the sum is 63.

The spelling of 426439714236480 in words is "four hundred twenty-six trillion, four hundred thirty-nine billion, seven hundred fourteen million, two hundred thirty-six thousand, four hundred eighty".