1288755040 has 144 divisors (see below), whose sum is σ = 3308703552. Its totient is φ = 474054656.

The previous prime is 1288755037. The next prime is 1288755043. The reversal of 1288755040 is 405578821.

It is an interprime number because it is at equal distance from previous prime (1288755037) and next prime (1288755043).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1288754984 and 1288755002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1288755043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172984 + ... + 2173576.

It is an arithmetic number, because the mean of its divisors is an integer number (22977108).

Almost surely, 2^1288755040 is an apocalyptic number.

1288755040 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 1288755040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654351776).

1288755040 is an abundant number, since it is smaller than the sum of its proper divisors (2019948512).

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

1288755040 is a wasteful number, since it uses less digits than its factorization.

1288755040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 1288755040 is about 35899.2345322292. The cubic root of 1288755040 is about 1088.2369275686.

The spelling of 1288755040 in words is "one billion, two hundred eighty-eight million, seven hundred fifty-five thousand, forty".