1024241111040 has 832 divisors, whose sum is σ = 4094483005440. Its totient is φ = 213185986560.

The previous prime is 1024241111039. The next prime is 1024241111051. The reversal of 1024241111040 is 401111424201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1024241110998 and 1024241111016.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 226649901 + ... + 226654419.

Almost surely, 2^{1024241111040} is an apocalyptic number.

1024241111040 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 1024241111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047241502720).

1024241111040 is an abundant number, since it is smaller than the sum of its proper divisors (3070241894400).

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

1024241111040 is a wasteful number, since it uses less digits than its factorization.

1024241111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4606 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 1024241111040 its reverse (401111424201), we get a palindrome (1425352535241).

The spelling of 1024241111040 in words is "one trillion, twenty-four billion, two hundred forty-one million, one hundred eleven thousand, forty".