1042118985600 has 2592 divisors, whose sum is σ = 5048318293200. Its totient is φ = 203238604800.

The previous prime is 1042118985569. The next prime is 1042118985613. The reversal of 1042118985600 is 65898112401.

It is a happy number.

1042118985600 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 1 + 1 + 89 + 8 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 323 ways as a sum of consecutive naturals, for example, 2902838221 + ... + 2902838579.

Almost surely, 2^{1042118985600} is an apocalyptic number.

1042118985600 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 1042118985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524159146600).

1042118985600 is an abundant number, since it is smaller than the sum of its proper divisors (4006199307600).

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

1042118985600 is a wasteful number, since it uses less digits than its factorization.

1042118985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 1042118985600 in words is "one trillion, forty-two billion, one hundred eighteen million, nine hundred eighty-five thousand, six hundred".