1042481440 has 384 divisors, whose sum is σ = 3462746112. Its totient is φ = 285880320.

The previous prime is 1042481431. The next prime is 1042481441. The reversal of 1042481440 is 441842401.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1042481399 and 1042481408.

It is not an unprimeable number, because it can be changed into a prime (1042481441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3683539 + ... + 3683821.

It is an arithmetic number, because the mean of its divisors is an integer number (9017568).

Almost surely, 2^1042481440 is an apocalyptic number.

1042481440 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 1042481440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731373056).

1042481440 is an abundant number, since it is smaller than the sum of its proper divisors (2420264672).

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

1042481440 is a wasteful number, since it uses less digits than its factorization.

1042481440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 1042481440 is about 32287.4811653062. The cubic root of 1042481440 is about 1013.9645632350.

The spelling of 1042481440 in words is "one billion, forty-two million, four hundred eighty-one thousand, four hundred forty".