10405868032000 has 416 divisors, whose sum is σ = 30038305699584. Its totient is φ = 3524640768000.

The previous prime is 10405868031973. The next prime is 10405868032111. The reversal of 10405868032000 is 23086850401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297454510 + ... + 297489490.

It is an arithmetic number, because the mean of its divisors is an integer number (72207465624).

Almost surely, 2^{10405868032000} is an apocalyptic number.

10405868032000 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 10405868032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15019152849792).

10405868032000 is an abundant number, since it is smaller than the sum of its proper divisors (19632437667584).

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

10405868032000 is an frugal number, since it uses more digits than its factorization.

10405868032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35110 (or 35078 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 10405868032000 in words is "ten trillion, four hundred five billion, eight hundred sixty-eight million, thirty-two thousand".