1042201330400 has 144 divisors (see below), whose sum is σ = 2692986856560. Its totient is φ = 392756428800.

The previous prime is 1042201330321. The next prime is 1042201330403. The reversal of 1042201330400 is 40331022401.

It is a super-2 number, since 2×1042201330400² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042201330403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2561792 + ... + 2940608.

It is an arithmetic number, because the mean of its divisors is an integer number (18701297615).

Almost surely, 2^{1042201330400} is an apocalyptic number.

1042201330400 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 1042201330400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346493428280).

1042201330400 is an abundant number, since it is smaller than the sum of its proper divisors (1650785526160).

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

1042201330400 is a wasteful number, since it uses less digits than its factorization.

1042201330400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379037 (or 379024 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1042201330400 its reverse (40331022401), we get a palindrome (1082532352801).

The spelling of 1042201330400 in words is "one trillion, forty-two billion, two hundred one million, three hundred thirty thousand, four hundred".