1447943040 has 640 divisors, whose sum is σ = 5758283520. Its totient is φ = 345047040.

The previous prime is 1447943033. The next prime is 1447943041. The reversal of 1447943040 is 403497441.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 1447942986 and 1447943004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1447943041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27319654 + ... + 27319706.

It is an arithmetic number, because the mean of its divisors is an integer number (8997318).

Almost surely, 2^1447943040 is an apocalyptic number.

1447943040 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 1447943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879141760).

1447943040 is an abundant number, since it is smaller than the sum of its proper divisors (4310340480).

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

1447943040 is a wasteful number, since it uses less digits than its factorization.

1447943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1447943040 is about 38051.8467357368. The cubic root of 1447943040 is about 1131.3157305803.

The spelling of 1447943040 in words is "one billion, four hundred forty-seven million, nine hundred forty-three thousand, forty".