1042202144000 has 288 divisors, whose sum is σ = 2707884920832. Its totient is φ = 399237120000.

The previous prime is 1042202143963. The next prime is 1042202144023. The reversal of 1042202144000 is 4412022401.

It is a super-3 number, since 3×1042202144000³ (a number of 37 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96218585 + ... + 96229415.

Almost surely, 2^{1042202144000} is an apocalyptic number.

1042202144000 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 1042202144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353942460416).

1042202144000 is an abundant number, since it is smaller than the sum of its proper divisors (1665682776832).

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

1042202144000 is an equidigital number, since it uses as much as digits as its factorization.

1042202144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10990 (or 10966 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1042202144000 its reverse (4412022401), we get a palindrome (1046614166401).

The spelling of 1042202144000 in words is "one trillion, forty-two billion, two hundred two million, one hundred forty-four thousand".