1042202653344 has 288 divisors, whose sum is σ = 3330029102400. Its totient is φ = 319359946752.

The previous prime is 1042202653319. The next prime is 1042202653357. The reversal of 1042202653344 is 4433562022401.

1042202653344 is a `hidden beast` number, since 1 + 0 + 42 + 20 + 26 + 533 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1042202653299 and 1042202653308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5592582 + ... + 5775930.

It is an arithmetic number, because the mean of its divisors is an integer number (11562601050).

Almost surely, 2^{1042202653344} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042202653344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665014551200).

1042202653344 is an abundant number, since it is smaller than the sum of its proper divisors (2287826449056).

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

1042202653344 is a wasteful number, since it uses less digits than its factorization.

1042202653344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183434 (or 183414 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1042202653344 its reverse (4433562022401), we get a palindrome (5475764675745).

The spelling of 1042202653344 in words is "one trillion, forty-two billion, two hundred two million, six hundred fifty-three thousand, three hundred forty-four".