428070666240 has 700 divisors, whose sum is σ = 1760399667984. Its totient is φ = 97844723712.

The previous prime is 428070666227. The next prime is 428070666269. The reversal of 428070666240 is 42666070824.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ (2!)¹¹.

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 27 ways as a sum of consecutive naturals, for example, 61152952317 + ... + 61152952323.

Almost surely, 2^428070666240 is an apocalyptic number.

428070666240 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 428070666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880199833992).

428070666240 is an abundant number, since it is smaller than the sum of its proper divisors (1332329001744).

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

428070666240 is an frugal number, since it uses more digits than its factorization.

428070666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 428070666240 in words is "four hundred twenty-eight billion, seventy million, six hundred sixty-six thousand, two hundred forty".