1054124040 has 128 divisors (see below), whose sum is σ = 3321077760. Its totient is φ = 267151104.

The previous prime is 1054124039. The next prime is 1054124051. The reversal of 1054124040 is 404214501.

It is a happy number.

It is a super-2 number, since 2×1054124040² = 2222354983411843200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054123998 and 1054124016.

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 31 ways as a sum of consecutive naturals, for example, 459777 + ... + 462063.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^1054124040 is an apocalyptic number.

1054124040 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 1054124040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

1054124040 is an abundant number, since it is smaller than the sum of its proper divisors (2266953720).

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

1054124040 is a wasteful number, since it uses less digits than its factorization.

1054124040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2491 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 1054124040 is about 32467.2764487568. The cubic root of 1054124040 is about 1017.7253039179.

Adding to 1054124040 its reverse (404214501), we get a palindrome (1458338541).

The spelling of 1054124040 in words is "one billion, fifty-four million, one hundred twenty-four thousand, forty".