1299529440 has 768 divisors, whose sum is σ = 5486745600. Its totient is φ = 283852800.

The previous prime is 1299529433. The next prime is 1299529447. The reversal of 1299529440 is 449259921.

It is an interprime number because it is at equal distance from previous prime (1299529433) and next prime (1299529447).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1299529447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31695820 + ... + 31695860.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^1299529440 is an apocalyptic number.

1299529440 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 1299529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2743372800).

1299529440 is an abundant number, since it is smaller than the sum of its proper divisors (4187216160).

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

1299529440 is a wasteful number, since it uses less digits than its factorization.

1299529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 1299529440 is about 36048.9866709177. The cubic root of 1299529440 is about 1091.2611836220.

It can be divided in two parts, 129 and 9529440, that added together give a square (9529569 = 3087²).

The spelling of 1299529440 in words is "one billion, two hundred ninety-nine million, five hundred twenty-nine thousand, four hundred forty".