1020241440 has 96 divisors (see below), whose sum is σ = 3570860160. Its totient is φ = 272063232.

The previous prime is 1020241399. The next prime is 1020241459. The reversal of 1020241440 is 441420201.

1020241440 is a `hidden beast` number, since 10 + 202 + 414 + 40 = 666.

1020241440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113764 + ... + 122403.

It is an arithmetic number, because the mean of its divisors is an integer number (37196460).

Almost surely, 2^1020241440 is an apocalyptic number.

1020241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020241440 is an abundant number, since it is smaller than the sum of its proper divisors (2550618720).

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

1020241440 is a wasteful number, since it uses less digits than its factorization.

1020241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236191 (or 236177 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1020241440 is about 31941.2185115095. The cubic root of 1020241440 is about 1006.7021277997.

Adding to 1020241440 its reverse (441420201), we get a palindrome (1461661641).

The spelling of 1020241440 in words is "one billion, twenty million, two hundred forty-one thousand, four hundred forty".