1004200432400 has 120 divisors (see below), whose sum is σ = 2632363419744. Its totient is φ = 365102003200.

The previous prime is 1004200432381. The next prime is 1004200432511. The reversal of 1004200432400 is 42340024001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32029532 + ... + 32060868.

Almost surely, 2^{1004200432400} is an apocalyptic number.

1004200432400 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 1004200432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316181709872).

1004200432400 is an abundant number, since it is smaller than the sum of its proper divisors (1628162987344).

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

1004200432400 is a wasteful number, since it uses less digits than its factorization.

1004200432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38649 (or 38638 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1004200432400 its reverse (42340024001), we get a palindrome (1046540456401).

The spelling of 1004200432400 in words is "one trillion, four billion, two hundred million, four hundred thirty-two thousand, four hundred".