1036189440000 has 2880 divisors, whose sum is σ = 4777642789920. Its totient is φ = 212336640000.

The previous prime is 1036189439951. The next prime is 1036189440019. The reversal of 1036189440000 is 449816301.

1036189440000 is a `hidden beast` number, since 1 + 0 + 36 + 189 + 440 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×1036189440000³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 28005119982 + ... + 28005120018.

Almost surely, 2^{1036189440000} is an apocalyptic number.

1036189440000 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 1036189440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388821394960).

1036189440000 is an abundant number, since it is smaller than the sum of its proper divisors (3741453349920).

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

1036189440000 is a wasteful number, since it uses less digits than its factorization.

1036189440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1036189440000 in words is "one trillion, thirty-six billion, one hundred eighty-nine million, four hundred forty thousand".