13042422041400 has 384 divisors, whose sum is σ = 45737023684800. Its totient is φ = 3415219200000.

The previous prime is 13042422041377. The next prime is 13042422041419. The reversal of 13042422041400 is 414022424031.

13042422041400 is a `hidden beast` number, since 1 + 3 + 0 + 4 + 24 + 220 + 414 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197936460 + ... + 198002340.

Almost surely, 2^{13042422041400} is an apocalyptic number.

13042422041400 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 13042422041400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22868511842400).

13042422041400 is an abundant number, since it is smaller than the sum of its proper divisors (32694601643400).

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

13042422041400 is a wasteful number, since it uses less digits than its factorization.

13042422041400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66568 (or 66553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 13042422041400 its reverse (414022424031), we get a palindrome (13456444465431).

The spelling of 13042422041400 in words is "thirteen trillion, forty-two billion, four hundred twenty-two million, forty-one thousand, four hundred".