10284240443400 has 1920 divisors, whose sum is σ = 47467638662400. Its totient is φ = 1997822361600.

The previous prime is 10284240443327. The next prime is 10284240443431. The reversal of 10284240443400 is 434404248201.

10284240443400 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 4 + 240 + 4 + 4 + 3 + 400 = 666.

10284240443400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 3329309056 + ... + 3329312144.

It is an arithmetic number, because the mean of its divisors is an integer number (24722728470).

Almost surely, 2^{10284240443400} is an apocalyptic number.

10284240443400 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 10284240443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23733819331200).

10284240443400 is an abundant number, since it is smaller than the sum of its proper divisors (37183398219000).

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

10284240443400 is a wasteful number, since it uses less digits than its factorization.

10284240443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3309 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 10284240443400 in words is "ten trillion, two hundred eighty-four billion, two hundred forty million, four hundred forty-three thousand, four hundred".