13442411400 has 384 divisors, whose sum is σ = 46712903040. Its totient is φ = 3170304000.

The previous prime is 13442411369. The next prime is 13442411407. The reversal of 13442411400 is 411424431.

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

It is not an unprimeable number, because it can be changed into a prime (13442411407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69649704 + ... + 69649896.

It is an arithmetic number, because the mean of its divisors is an integer number (121648185).

Almost surely, 2^13442411400 is an apocalyptic number.

13442411400 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 13442411400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23356451520).

13442411400 is an abundant number, since it is smaller than the sum of its proper divisors (33270491640).

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

13442411400 is a wasteful number, since it uses less digits than its factorization.

13442411400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

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

Adding to 13442411400 its reverse (411424431), we get a palindrome (13853835831).

The spelling of 13442411400 in words is "thirteen billion, four hundred forty-two million, four hundred eleven thousand, four hundred".