428332685040 has 200 divisors, whose sum is σ = 1602098792448. Its totient is φ = 105435717120.

The previous prime is 428332685029. The next prime is 428332685057. The reversal of 428332685040 is 40586233824.

428332685040 is a `hidden beast` number, since 4 + 2 + 83 + 3 + 2 + 68 + 504 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 39 ways as a sum of consecutive naturals, for example, 2458096 + ... + 2626575.

Almost surely, 2^428332685040 is an apocalyptic number.

428332685040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428332685040 is an abundant number, since it is smaller than the sum of its proper divisors (1173766107408).

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

428332685040 is a wasteful number, since it uses less digits than its factorization.

428332685040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084709 (or 5084694 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 428332685040 in words is "four hundred twenty-eight billion, three hundred thirty-two million, six hundred eighty-five thousand, forty".