1034220415200 has 576 divisors, whose sum is σ = 3916549324800. Its totient is φ = 232160163840.

The previous prime is 1034220415169. The next prime is 1034220415201. The reversal of 1034220415200 is 25140224301.

It is a super-2 number, since 2×1034220415200² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1034220415201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 431103601 + ... + 431105999.

It is an arithmetic number, because the mean of its divisors is an integer number (6799564800).

Almost surely, 2^{1034220415200} is an apocalyptic number.

1034220415200 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 1034220415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958274662400).

1034220415200 is an abundant number, since it is smaller than the sum of its proper divisors (2882328909600).

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

1034220415200 is a wasteful number, since it uses less digits than its factorization.

1034220415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879 (or 2866 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 1034220415200 its reverse (25140224301), we get a palindrome (1059360639501).

The spelling of 1034220415200 in words is "one trillion, thirty-four billion, two hundred twenty million, four hundred fifteen thousand, two hundred".