1038107664000 has 2304 divisors, whose sum is σ = 4509791769600. Its totient is φ = 235146240000.

The previous prime is 1038107663993. The next prime is 1038107664001. The reversal of 1038107664000 is 4667018301.

1038107664000 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 0 + 7 + 6 + 640 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1038107664001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33487343985 + ... + 33487344015.

It is an arithmetic number, because the mean of its divisors is an integer number (1957374900).

Almost surely, 2^{1038107664000} is an apocalyptic number.

1038107664000 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 1038107664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254895884800).

1038107664000 is an abundant number, since it is smaller than the sum of its proper divisors (3471684105600).

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

1038107664000 is an frugal number, since it uses more digits than its factorization.

1038107664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 1038107664000 in words is "one trillion, thirty-eight billion, one hundred seven million, six hundred sixty-four thousand".