10342401014040 has 128 divisors (see below), whose sum is σ = 31336836837120. Its totient is φ = 2730454848000.

The previous prime is 10342401014009. The next prime is 10342401014081. The reversal of 10342401014040 is 4041010424301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10342401014040.

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, 211966527 + ... + 212015313.

It is an arithmetic number, because the mean of its divisors is an integer number (244819037790).

Almost surely, 2^{10342401014040} is an apocalyptic number.

10342401014040 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 10342401014040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15668418418560).

10342401014040 is an abundant number, since it is smaller than the sum of its proper divisors (20994435823080).

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

10342401014040 is a wasteful number, since it uses less digits than its factorization.

10342401014040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66393 (or 66389 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10342401014040 its reverse (4041010424301), we get a palindrome (14383411438341).

The spelling of 10342401014040 in words is "ten trillion, three hundred forty-two billion, four hundred one million, fourteen thousand, forty".