433728725474880 has 336 divisors, whose sum is σ = 1681843875035520. Its totient is φ = 105146357437440.

The previous prime is 433728725474851. The next prime is 433728725474893. The reversal of 433728725474880 is 88474527827334.

433728725474880 is a `hidden beast` number, since 4 + 3 + 3 + 7 + 2 + 8 + 72 + 5 + 474 + 8 + 80 = 666.

It is a super-2 number, since 2×433728725474880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 433728725474799 and 433728725474808.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 206392924 + ... + 208483803.

It is an arithmetic number, because the mean of its divisors is an integer number (5005487723320).

Almost surely, 2^{433728725474880} is an apocalyptic number.

433728725474880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

433728725474880 is an abundant number, since it is smaller than the sum of its proper divisors (1248115149560640).

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

433728725474880 is a wasteful number, since it uses less digits than its factorization.

433728725474880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414876775 (or 414876748 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 72.

The spelling of 433728725474880 in words is "four hundred thirty-three trillion, seven hundred twenty-eight billion, seven hundred twenty-five million, four hundred seventy-four thousand, eight hundred eighty".