1004132243400 has 384 divisors, whose sum is σ = 3693247367040. Its totient is φ = 222474240000.

The previous prime is 1004132243287. The next prime is 1004132243447. The reversal of 1004132243400 is 43422314001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8607864 + ... + 8723736.

It is an arithmetic number, because the mean of its divisors is an integer number (9617831685).

Almost surely, 2^{1004132243400} is an apocalyptic number.

1004132243400 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 1004132243400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846623683520).

1004132243400 is an abundant number, since it is smaller than the sum of its proper divisors (2689115123640).

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

1004132243400 is a wasteful number, since it uses less digits than its factorization.

1004132243400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116017 (or 116008 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1004132243400 its reverse (43422314001), we get a palindrome (1047554557401).

The spelling of 1004132243400 in words is "one trillion, four billion, one hundred thirty-two million, two hundred forty-three thousand, four hundred".