1011401104224 has 96 divisors (see below), whose sum is σ = 3035327178240. Its totient is φ = 288864709632.

The previous prime is 1011401104213. The next prime is 1011401104229. The reversal of 1011401104224 is 4224011041101.

1011401104224 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 (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1011401104224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011401104229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1545757 + ... + 2100515.

It is an arithmetic number, because the mean of its divisors is an integer number (31617991440).

Almost surely, 2^{1011401104224} is an apocalyptic number.

1011401104224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1011401104224 is an abundant number, since it is smaller than the sum of its proper divisors (2023926074016).

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

1011401104224 is a wasteful number, since it uses less digits than its factorization.

1011401104224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557492 (or 557484 counting only the distinct ones).

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

Adding to 1011401104224 its reverse (4224011041101), we get a palindrome (5235412145325).

The spelling of 1011401104224 in words is "one trillion, eleven billion, four hundred one million, one hundred four thousand, two hundred twenty-four".