426013566432000 has 576 divisors, whose sum is σ = 1418063306849280. Its totient is φ = 113358311424000.

The previous prime is 426013566431953. The next prime is 426013566432019. The reversal of 426013566432000 is 234665310624.

It is a happy number.

It is a super-2 number, since 2×426013566432000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 115419550155 + ... + 115419553845.

It is an arithmetic number, because the mean of its divisors is an integer number (2461915463280).

Almost surely, 2^{426013566432000} is an apocalyptic number.

426013566432000 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 426013566432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709031653424640).

426013566432000 is an abundant number, since it is smaller than the sum of its proper divisors (992049740417280).

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

426013566432000 is a wasteful number, since it uses less digits than its factorization.

426013566432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5997 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 426013566432000 in words is "four hundred twenty-six trillion, thirteen billion, five hundred sixty-six million, four hundred thirty-two thousand".