428440390560 has 2592 divisors, whose sum is σ = 2033914821120. Its totient is φ = 81517363200.

The previous prime is 428440390537. The next prime is 428440390601. The reversal of 428440390560 is 65093044824.

428440390560 is a `hidden beast` number, since 4 + 2 + 84 + 4 + 0 + 3 + 9 + 0 + 560 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a super-2 number, since 2×428440390560² (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 an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7023612930 + ... + 7023612990.

It is an arithmetic number, because the mean of its divisors is an integer number (784689360).

Almost surely, 2^428440390560 is an apocalyptic number.

428440390560 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 428440390560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016957410560).

428440390560 is an abundant number, since it is smaller than the sum of its proper divisors (1605474430560).

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

428440390560 is a wasteful number, since it uses less digits than its factorization.

428440390560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 428440390560 in words is "four hundred twenty-eight billion, four hundred forty million, three hundred ninety thousand, five hundred sixty".