428066735040 has 896 divisors, whose sum is σ = 1829463244800. Its totient is φ = 92042956800.

The previous prime is 428066735027. The next prime is 428066735119. The reversal of 428066735040 is 40537660824.

428066735040 is a `hidden beast` number, since 4 + 2 + 80 + 6 + 67 + 3 + 504 + 0 = 666.

It is a super-2 number, since 2×428066735040² (a number of 24 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 173515887 + ... + 173518353.

Almost surely, 2^428066735040 is an apocalyptic number.

428066735040 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 428066735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914731622400).

428066735040 is an abundant number, since it is smaller than the sum of its proper divisors (1401396509760).

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

428066735040 is a wasteful number, since it uses less digits than its factorization.

428066735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2670 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 428066735040 in words is "four hundred twenty-eight billion, sixty-six million, seven hundred thirty-five thousand, forty".