13400020101040 has 160 divisors (see below), whose sum is σ = 31551016320000. Its totient is φ = 5292248113152.

The previous prime is 13400020101019. The next prime is 13400020101079. The reversal of 13400020101040 is 4010102000431.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4950135367 + ... + 4950138073.

It is an arithmetic number, because the mean of its divisors is an integer number (197193852000).

Almost surely, 2^{13400020101040} is an apocalyptic number.

13400020101040 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 13400020101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775508160000).

13400020101040 is an abundant number, since it is smaller than the sum of its proper divisors (18150996218960).

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

13400020101040 is a wasteful number, since it uses less digits than its factorization.

13400020101040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4539 (or 4533 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13400020101040 its reverse (4010102000431), we get a palindrome (17410122101471).

The spelling of 13400020101040 in words is "thirteen trillion, four hundred billion, twenty million, one hundred one thousand, forty".