13414412400 has 240 divisors, whose sum is σ = 43879998048. Its totient is φ = 3502080000.

The previous prime is 13414412399. The next prime is 13414412443. The reversal of 13414412400 is 421441431.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 29352972 + ... + 29353428.

Almost surely, 2^13414412400 is an apocalyptic number.

13414412400 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 13414412400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939999024).

13414412400 is an abundant number, since it is smaller than the sum of its proper divisors (30465585648).

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

13414412400 is a wasteful number, since it uses less digits than its factorization.

13414412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

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

Adding to 13414412400 its reverse (421441431), we get a palindrome (13835853831).

The spelling of 13414412400 in words is "thirteen billion, four hundred fourteen million, four hundred twelve thousand, four hundred".