8426128343040 has 1632 divisors, whose sum is σ = 32461777857600. Its totient is φ = 2092789923840.

The previous prime is 8426128342943. The next prime is 8426128343099. The reversal of 8426128343040 is 403438216248.

It is a happy number.

8426128343040 is a `hidden beast` number, since 8 + 4 + 2 + 61 + 283 + 4 + 304 + 0 = 666.

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

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, 94675599316 + ... + 94675599404.

Almost surely, 2^{8426128343040} is an apocalyptic number.

8426128343040 is a gapful number since it is divisible by the number (80) 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 8426128343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16230888928800).

8426128343040 is an abundant number, since it is smaller than the sum of its proper divisors (24035649514560).

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

8426128343040 is an frugal number, since it uses more digits than its factorization.

8426128343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 8426128343040 in words is "eight trillion, four hundred twenty-six billion, one hundred twenty-eight million, three hundred forty-three thousand, forty".