428566159167440 has 320 divisors, whose sum is σ = 1159928650243584. Its totient is φ = 144222110613504.

The previous prime is 428566159167409. The next prime is 428566159167451. The reversal of 428566159167440 is 44761951665824.

It is a congruent number.

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, 21457265294 + ... + 21457285266.

Almost surely, 2^{428566159167440} is an apocalyptic number.

428566159167440 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 428566159167440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579964325121792).

428566159167440 is an abundant number, since it is smaller than the sum of its proper divisors (731362491076144).

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

428566159167440 is a wasteful number, since it uses less digits than its factorization.

428566159167440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22094 (or 22088 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 68.

The spelling of 428566159167440 in words is "four hundred twenty-eight trillion, five hundred sixty-six billion, one hundred fifty-nine million, one hundred sixty-seven thousand, four hundred forty".