10565342410400 has 144 divisors (see below), whose sum is σ = 25908992968320. Its totient is φ = 4207084492800.

The previous prime is 10565342410397. The next prime is 10565342410411. The reversal of 10565342410400 is 401424356501.

It is a super-2 number, since 2×10565342410400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751600172 + ... + 751614228.

It is an arithmetic number, because the mean of its divisors is an integer number (179923562280).

Almost surely, 2^{10565342410400} is an apocalyptic number.

10565342410400 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 10565342410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954496484160).

10565342410400 is an abundant number, since it is smaller than the sum of its proper divisors (15343650557920).

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

10565342410400 is a wasteful number, since it uses less digits than its factorization.

10565342410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18247 (or 18234 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

Adding to 10565342410400 its reverse (401424356501), we get a palindrome (10966766766901).

The spelling of 10565342410400 in words is "ten trillion, five hundred sixty-five billion, three hundred forty-two million, four hundred ten thousand, four hundred".