1042131402400 has 576 divisors, whose sum is σ = 3075271920000. Its totient is φ = 340371046400.

The previous prime is 1042131402337. The next prime is 1042131402413. The reversal of 1042131402400 is 42041312401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 386116251 + ... + 386118949.

It is an arithmetic number, because the mean of its divisors is an integer number (5339013750).

Almost surely, 2^{1042131402400} is an apocalyptic number.

1042131402400 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 1042131402400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537635960000).

1042131402400 is an abundant number, since it is smaller than the sum of its proper divisors (2033140517600).

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

1042131402400 is a wasteful number, since it uses less digits than its factorization.

1042131402400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2865 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 1042131402400 its reverse (42041312401), we get a palindrome (1084172714801).

The spelling of 1042131402400 in words is "one trillion, forty-two billion, one hundred thirty-one million, four hundred two thousand, four hundred".