1024416211104 has 384 divisors, whose sum is σ = 3535917960960. Its totient is φ = 284453683200.

The previous prime is 1024416211079. The next prime is 1024416211139. The reversal of 1024416211104 is 4011126144201.

It is a happy number.

1024416211104 is a `hidden beast` number, since 1 + 0 + 2 + 441 + 6 + 211 + 1 + 0 + 4 = 666.

1024416211104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 16896364 + ... + 16956884.

It is an arithmetic number, because the mean of its divisors is an integer number (9208119690).

Almost surely, 2^{1024416211104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1024416211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767958980480).

1024416211104 is an abundant number, since it is smaller than the sum of its proper divisors (2511501749856).

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

1024416211104 is a wasteful number, since it uses less digits than its factorization.

1024416211104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60701 (or 60687 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 1024416211104 in words is "one trillion, twenty-four billion, four hundred sixteen million, two hundred eleven thousand, one hundred four".