1035242208000 has 5184 divisors, whose sum is σ = 5557263828480. Its totient is φ = 188116992000.

The previous prime is 1035242207953. The next prime is 1035242208037. The reversal of 1035242208000 is 8022425301.

1035242208000 is a `hidden beast` number, since 10 + 352 + 4 + 220 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 54486431991 + ... + 54486432009.

Almost surely, 2^{1035242208000} is an apocalyptic number.

1035242208000 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 1035242208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778631914240).

1035242208000 is an abundant number, since it is smaller than the sum of its proper divisors (4522021620480).

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

1035242208000 is a wasteful number, since it uses less digits than its factorization.

1035242208000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The spelling of 1035242208000 in words is "one trillion, thirty-five billion, two hundred forty-two million, two hundred eight thousand".