1445729640 has 128 divisors (see below), whose sum is σ = 4740664320. Its totient is φ = 351129600.

The previous prime is 1445729639. The next prime is 1445729669. The reversal of 1445729640 is 469275441.

It is a super-3 number, since 3×1445729640³ (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1445729592 and 1445729601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51810 + ... + 74670.

It is an arithmetic number, because the mean of its divisors is an integer number (37036440).

Almost surely, 2^1445729640 is an apocalyptic number.

1445729640 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 1445729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2370332160).

1445729640 is an abundant number, since it is smaller than the sum of its proper divisors (3294934680).

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

1445729640 is a wasteful number, since it uses less digits than its factorization.

1445729640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22923 (or 22919 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 1445729640 is about 38022.7516100558. The cubic root of 1445729640 is about 1130.7389741759.

The spelling of 1445729640 in words is "one billion, four hundred forty-five million, seven hundred twenty-nine thousand, six hundred forty".