1449134440 has 72 divisors (see below), whose sum is σ = 3538299510. Its totient is φ = 533909376.

The previous prime is 1449134419. The next prime is 1449134441. The reversal of 1449134440 is 444319441.

It can be written as a sum of positive squares in 3 ways, for example, as 625100004 + 824034436 = 25002^2 + 28706^2 .

It is a super-2 number, since 2×1449134440² = 4199981250388227200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1449134396 and 1449134405.

It is not an unprimeable number, because it can be changed into a prime (1449134441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3129649 + ... + 3130111.

Almost surely, 2^1449134440 is an apocalyptic number.

1449134440 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 1449134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769149755).

1449134440 is an abundant number, since it is smaller than the sum of its proper divisors (2089165070).

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

1449134440 is an equidigital number, since it uses as much as digits as its factorization.

1449134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 1449134440 is about 38067.4984731070. The cubic root of 1449134440 is about 1131.6259361646.

The spelling of 1449134440 in words is "one billion, four hundred forty-nine million, one hundred thirty-four thousand, four hundred forty".