1452394045440 has 672 divisors, whose sum is σ = 5569158905856. Its totient is φ = 347807416320.

The previous prime is 1452394045429. The next prime is 1452394045441. The reversal of 1452394045440 is 445404932541.

1452394045440 is a `hidden beast` number, since 1 + 4 + 5 + 239 + 404 + 5 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452394045441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177311745 + ... + 177319935.

It is an arithmetic number, because the mean of its divisors is an integer number (8287438848).

Almost surely, 2^{1452394045440} is an apocalyptic number.

1452394045440 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 1452394045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2784579452928).

1452394045440 is an abundant number, since it is smaller than the sum of its proper divisors (4116764860416).

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

1452394045440 is a wasteful number, since it uses less digits than its factorization.

1452394045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8278 (or 8251 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 1452394045440 its reverse (445404932541), we get a palindrome (1897798977981).

The spelling of 1452394045440 in words is "one trillion, four hundred fifty-two billion, three hundred ninety-four million, forty-five thousand, four hundred forty".