1287239040 has 448 divisors, whose sum is σ = 4816195200. Its totient is φ = 328458240.

The previous prime is 1287239033. The next prime is 1287239053. The reversal of 1287239040 is 409327821.

It is a super-2 number, since 2×1287239040² = 3313968692200243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1287238986 and 1287239004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 14463316 + ... + 14463404.

Almost surely, 2^1287239040 is an apocalyptic number.

1287239040 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 1287239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408097600).

1287239040 is an abundant number, since it is smaller than the sum of its proper divisors (3528956160).

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

1287239040 is an frugal number, since it uses more digits than its factorization.

1287239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1287239040 is about 35878.1136627889. The cubic root of 1287239040 is about 1087.8100519033.

The spelling of 1287239040 in words is "one billion, two hundred eighty-seven million, two hundred thirty-nine thousand, forty".