528412429440 has 1280 divisors, whose sum is σ = 2252128665600. Its totient is φ = 115527720960.

The previous prime is 528412429429. The next prime is 528412429459. The reversal of 528412429440 is 44924214825.

528412429440 is a `hidden beast` number, since 5 + 2 + 84 + 124 + 2 + 9 + 440 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1203672741 + ... + 1203673179.

It is an arithmetic number, because the mean of its divisors is an integer number (1759475520).

Almost surely, 2^528412429440 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 528412429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126064332800).

528412429440 is an abundant number, since it is smaller than the sum of its proper divisors (1723716236160).

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

528412429440 is a wasteful number, since it uses less digits than its factorization.

528412429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 528412429440 in words is "five hundred twenty-eight billion, four hundred twelve million, four hundred twenty-nine thousand, four hundred forty".