1450391040 has 720 divisors, whose sum is σ = 6354155808. Its totient is φ = 298450944.

The previous prime is 1450391021. The next prime is 1450391051. The reversal of 1450391040 is 401930541.

It is a tau number, because it is divible by the number of its divisors (720).

It is a junction number, because it is equal to n+sod(n) for n = 1450390995 and 1450391013.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 63060469 + ... + 63060491.

Almost surely, 2^1450391040 is an apocalyptic number.

1450391040 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 1450391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3177077904).

1450391040 is an abundant number, since it is smaller than the sum of its proper divisors (4903764768).

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

1450391040 is a wasteful number, since it uses less digits than its factorization.

1450391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1450391040 is about 38083.9997899380. Note that the first 3 decimals coincide. The cubic root of 1450391040 is about 1131.9529337355.

The spelling of 1450391040 in words is "one billion, four hundred fifty million, three hundred ninety-one thousand, forty".