1428880642560 has 600 divisors, whose sum is σ = 5953400325180. Its totient is φ = 326598967296.

The previous prime is 1428880642559. The next prime is 1428880642561. The reversal of 1428880642560 is 652460888241.

1428880642560 is a `hidden beast` number, since 1 + 4 + 2 + 88 + 80 + 6 + 425 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1428880642559) and next prime (1428880642561).

It can be written as a sum of positive squares in 2 ways, for example, as 1290532352256 + 138348290304 = 1136016^2 + 371952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1428880642497 and 1428880642506.

It is not an unprimeable number, because it can be changed into a prime (1428880642561) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10090326 + ... + 10230954.

Almost surely, 2^{1428880642560} is an apocalyptic number.

1428880642560 is a gapful number since it is divisible by the number (10) 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 1428880642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976700162590).

1428880642560 is an abundant number, since it is smaller than the sum of its proper divisors (4524519682620).

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

1428880642560 is an equidigital number, since it uses as much as digits as its factorization.

1428880642560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140678 (or 140646 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 1428880642560 in words is "one trillion, four hundred twenty-eight billion, eight hundred eighty million, six hundred forty-two thousand, five hundred sixty".