1040121320 has 128 divisors (see below), whose sum is σ = 2729376000. Its totient is φ = 349403136.

The previous prime is 1040121311. The next prime is 1040121323. The reversal of 1040121320 is 231210401.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1040121295 and 1040121304.

It is not an unprimeable number, because it can be changed into a prime (1040121323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4463924 + ... + 4464156.

It is an arithmetic number, because the mean of its divisors is an integer number (21323250).

Almost surely, 2^1040121320 is an apocalyptic number.

1040121320 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 1040121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364688000).

1040121320 is an abundant number, since it is smaller than the sum of its proper divisors (1689254680).

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

1040121320 is a wasteful number, since it uses less digits than its factorization.

1040121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1040121320 is about 32250.9119250914. The cubic root of 1040121320 is about 1013.1987986021.

Adding to 1040121320 its reverse (231210401), we get a palindrome (1271331721).

The spelling of 1040121320 in words is "one billion, forty million, one hundred twenty-one thousand, three hundred twenty".