13404979600 has 120 divisors (see below), whose sum is σ = 33661631232. Its totient is φ = 5120332800.

The previous prime is 13404979597. The next prime is 13404979603. The reversal of 13404979600 is 697940431.

It is an interprime number because it is at equal distance from previous prime (13404979597) and next prime (13404979603).

It is not an unprimeable number, because it can be changed into a prime (13404979603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10146940 + ... + 10148260.

Almost surely, 2^13404979600 is an apocalyptic number.

13404979600 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 13404979600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16830815616).

13404979600 is an abundant number, since it is smaller than the sum of its proper divisors (20256651632).

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

13404979600 is a wasteful number, since it uses less digits than its factorization.

13404979600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The spelling of 13404979600 in words is "thirteen billion, four hundred four million, nine hundred seventy-nine thousand, six hundred".