1004132122400 has 288 divisors, whose sum is σ = 2783083121280. Its totient is φ = 350422016000.

The previous prime is 1004132122391. The next prime is 1004132122403. The reversal of 1004132122400 is 42212314001.

1004132122400 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 (20).

It is not an unprimeable number, because it can be changed into a prime (1004132122403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42606620 + ... + 42630180.

It is an arithmetic number, because the mean of its divisors is an integer number (9663483060).

Almost surely, 2^{1004132122400} is an apocalyptic number.

1004132122400 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 1004132122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391541560640).

1004132122400 is an abundant number, since it is smaller than the sum of its proper divisors (1778950998880).

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

1004132122400 is a wasteful number, since it uses less digits than its factorization.

1004132122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23788 (or 23775 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1004132122400 its reverse (42212314001), we get a palindrome (1046344436401).

The spelling of 1004132122400 in words is "one trillion, four billion, one hundred thirty-two million, one hundred twenty-two thousand, four hundred".