1054445440 has 64 divisors (see below), whose sum is σ = 2540828160. Its totient is φ = 418424832.

The previous prime is 1054445411. The next prime is 1054445449. The reversal of 1054445440 is 445444501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1054445440² = 2223710371873587200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054445449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74794 + ... + 87766.

It is an arithmetic number, because the mean of its divisors is an integer number (39700440).

Almost surely, 2^1054445440 is an apocalyptic number.

1054445440 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 1054445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270414080).

1054445440 is an abundant number, since it is smaller than the sum of its proper divisors (1486382720).

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

1054445440 is a wasteful number, since it uses less digits than its factorization.

1054445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13119 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

The square root of 1054445440 is about 32472.2256705635. The cubic root of 1054445440 is about 1017.8287274437.

Adding to 1054445440 its reverse (445444501), we get a palindrome (1499889941).

The spelling of 1054445440 in words is "one billion, fifty-four million, four hundred forty-five thousand, four hundred forty".