10438293312000 has 320 divisors, whose sum is σ = 38560801593600. Its totient is φ = 2783544422400.

The previous prime is 10438293311977. The next prime is 10438293312001. The reversal of 10438293312000 is 21339283401.

10438293312000 is a `hidden beast` number, since 1 + 0 + 43 + 82 + 9 + 331 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 (10438293312001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292340 + ... + 4748339.

It is an arithmetic number, because the mean of its divisors is an integer number (120502504980).

Almost surely, 2^{10438293312000} is an apocalyptic number.

10438293312000 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 10438293312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19280400796800).

10438293312000 is an abundant number, since it is smaller than the sum of its proper divisors (28122508281600).

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

10438293312000 is an frugal number, since it uses more digits than its factorization.

10438293312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6040721 (or 6040689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10438293312000 in words is "ten trillion, four hundred thirty-eight billion, two hundred ninety-three million, three hundred twelve thousand".