1003400241024 has 64 divisors (see below), whose sum is σ = 2666711370240. Its totient is φ = 334287361536.

The previous prime is 1003400241017. The next prime is 1003400241037. The reversal of 1003400241024 is 4201420043001.

1003400241024 is digitally balanced in base 2 and base 4, because in such bases 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 (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17137 + ... + 1416719.

It is an arithmetic number, because the mean of its divisors is an integer number (41667365160).

Almost surely, 2^{1003400241024} is an apocalyptic number.

It is an amenable number.

1003400241024 is an abundant number, since it is smaller than the sum of its proper divisors (1663311129216).

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

1003400241024 is a wasteful number, since it uses less digits than its factorization.

1003400241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401467 (or 1401455 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1003400241024 its reverse (4201420043001), we get a palindrome (5204820284025).

The spelling of 1003400241024 in words is "one trillion, three billion, four hundred million, two hundred forty-one thousand, twenty-four".