1024414220000 has 480 divisors, whose sum is σ = 2790107679744. Its totient is φ = 368409600000.

The previous prime is 1024414219993. The next prime is 1024414220009. The reversal of 1024414220000 is 224144201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024414220009) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 874819415 + ... + 874820585.

Almost surely, 2^{1024414220000} is an apocalyptic number.

1024414220000 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 1024414220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395053839872).

1024414220000 is an abundant number, since it is smaller than the sum of its proper divisors (1765693459744).

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

1024414220000 is a wasteful number, since it uses less digits than its factorization.

1024414220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1024414220000 its reverse (224144201), we get a palindrome (1024638364201).

The spelling of 1024414220000 in words is "one trillion, twenty-four billion, four hundred fourteen million, two hundred twenty thousand".