10205340456444 has 96 divisors (see below), whose sum is σ = 28407508147200. Its totient is φ = 2788051166208.

The previous prime is 10205340456413. The next prime is 10205340456457. The reversal of 10205340456444 is 44465404350201.

10205340456444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10205340456444² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10205340456396 and 10205340456405.

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, 4541082 + ... + 6405630.

It is an arithmetic number, because the mean of its divisors is an integer number (295911543200).

Almost surely, 2^{10205340456444} is an apocalyptic number.

10205340456444 is a gapful number since it is divisible by the number (14) 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 10205340456444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203754073600).

10205340456444 is an abundant number, since it is smaller than the sum of its proper divisors (18202167690756).

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

10205340456444 is a wasteful number, since it uses less digits than its factorization.

10205340456444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1867419 (or 1867417 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 10205340456444 in words is "ten trillion, two hundred five billion, three hundred forty million, four hundred fifty-six thousand, four hundred forty-four".