1450775040 has 320 divisors, whose sum is σ = 5452900992. Its totient is φ = 324403200.

The previous prime is 1450774999. The next prime is 1450775047. The reversal of 1450775040 is 405770541.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1450774992 and 1450775010.

It is not an unprimeable number, because it can be changed into a prime (1450775047) 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 31 ways as a sum of consecutive naturals, for example, 1097580 + ... + 1098900.

Almost surely, 2^1450775040 is an apocalyptic number.

1450775040 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 1450775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726450496).

1450775040 is an abundant number, since it is smaller than the sum of its proper divisors (4002125952).

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

1450775040 is a wasteful number, since it uses less digits than its factorization.

1450775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 1450775040 is about 38089.0409435575. The cubic root of 1450775040 is about 1132.0528221011.

The spelling of 1450775040 in words is "one billion, four hundred fifty million, seven hundred seventy-five thousand, forty".