1349128480 has 192 divisors, whose sum is σ = 3852914688. Its totient is φ = 436423680.

The previous prime is 1349128441. The next prime is 1349128499. The reversal of 1349128480 is 848219431.

It is a super-2 number, since 2×1349128480² = 3640295311094220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2137765 + ... + 2138395.

It is an arithmetic number, because the mean of its divisors is an integer number (20067264).

Almost surely, 2^1349128480 is an apocalyptic number.

1349128480 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 1349128480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926457344).

1349128480 is an abundant number, since it is smaller than the sum of its proper divisors (2503786208).

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

1349128480 is a wasteful number, since it uses less digits than its factorization.

1349128480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 1349128480 is about 36730.4843420285. The cubic root of 1349128480 is about 1104.9715682371.

The spelling of 1349128480 in words is "one billion, three hundred forty-nine million, one hundred twenty-eight thousand, four hundred eighty".