1013400424344 has 256 divisors, whose sum is σ = 3182846607360. Its totient is φ = 261211392000.

The previous prime is 1013400424301. The next prime is 1013400424349. The reversal of 1013400424344 is 4434240043101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013400424349) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 156361584 + ... + 156368064.

It is an arithmetic number, because the mean of its divisors is an integer number (12432994560).

Almost surely, 2^{1013400424344} is an apocalyptic number.

1013400424344 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 1013400424344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591423303680).

1013400424344 is an abundant number, since it is smaller than the sum of its proper divisors (2169446183016).

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

1013400424344 is a wasteful number, since it uses less digits than its factorization.

1013400424344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7142 (or 7138 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 1013400424344 its reverse (4434240043101), we get a palindrome (5447640467445).

The spelling of 1013400424344 in words is "one trillion, thirteen billion, four hundred million, four hundred twenty-four thousand, three hundred forty-four".