428409274003020 has 192 divisors, whose sum is σ = 1334643246720000. Its totient is φ = 114086989112832.

The previous prime is 428409274002991. The next prime is 428409274003021. The reversal of 428409274003020 is 20300472904824.

It is a happy number.

428409274003020 is a `hidden beast` number, since 4 + 284 + 0 + 9 + 27 + 40 + 0 + 302 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (428409274003021) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3756502119 + ... + 3756616161.

It is an arithmetic number, because the mean of its divisors is an integer number (6951266910000).

Almost surely, 2^{428409274003020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428409274003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667321623360000).

428409274003020 is an abundant number, since it is smaller than the sum of its proper divisors (906233972716980).

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

428409274003020 is a wasteful number, since it uses less digits than its factorization.

428409274003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123469 (or 123461 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 428409274003020 in words is "four hundred twenty-eight trillion, four hundred nine billion, two hundred seventy-four million, three thousand, twenty".