10340412544 has 128 divisors (see below), whose sum is σ = 26310614400. Its totient is φ = 3930316800.

The previous prime is 10340412539. The next prime is 10340412547. The reversal of 10340412544 is 44521404301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10340412544² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10340412547) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391302 + ... + 416890.

It is an arithmetic number, because the mean of its divisors is an integer number (205551675).

Almost surely, 2^10340412544 is an apocalyptic number.

10340412544 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 10340412544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13155307200).

10340412544 is an abundant number, since it is smaller than the sum of its proper divisors (15970201856).

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

10340412544 is a wasteful number, since it uses less digits than its factorization.

10340412544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25662 (or 25650 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 10340412544 its reverse (44521404301), we get a palindrome (54861816845).

The spelling of 10340412544 in words is "ten billion, three hundred forty million, four hundred twelve thousand, five hundred forty-four".