1034220400224 has 96 divisors (see below), whose sum is σ = 2961841800960. Its totient is φ = 313377830400.

The previous prime is 1034220400189. The next prime is 1034220400229. The reversal of 1034220400224 is 4220040224301.

1034220400224 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 super-4 number, since 4×1034220400224⁴ (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 1034220400194 and 1034220400203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034220400229) 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, 20610237 + ... + 20660355.

It is an arithmetic number, because the mean of its divisors is an integer number (30852518760).

Almost surely, 2^{1034220400224} is an apocalyptic number.

It is an amenable number.

1034220400224 is an abundant number, since it is smaller than the sum of its proper divisors (1927621400736).

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

1034220400224 is a wasteful number, since it uses less digits than its factorization.

1034220400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69684 (or 69676 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1034220400224 its reverse (4220040224301), we get a palindrome (5254260624525).

The spelling of 1034220400224 in words is "one trillion, thirty-four billion, two hundred twenty million, four hundred thousand, two hundred twenty-four".