13404111040320 has 1792 divisors, whose sum is σ = 60583283195904. Its totient is φ = 2420637696000.

The previous prime is 13404111040319. The next prime is 13404111040343. The reversal of 13404111040320 is 2304011140431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1102215040 + ... + 1102227200.

It is an arithmetic number, because the mean of its divisors is an integer number (33807635712).

Almost surely, 2^{13404111040320} is an apocalyptic number.

13404111040320 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 13404111040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30291641597952).

13404111040320 is an abundant number, since it is smaller than the sum of its proper divisors (47179172155584).

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

13404111040320 is a wasteful number, since it uses less digits than its factorization.

13404111040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12280 (or 12270 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 13404111040320 its reverse (2304011140431), we get a palindrome (15708122180751).

The spelling of 13404111040320 in words is "thirteen trillion, four hundred four billion, one hundred eleven million, forty thousand, three hundred twenty".