141414431400 has 288 divisors, whose sum is σ = 522940860000. Its totient is φ = 33961382400.

The previous prime is 141414431377. The next prime is 141414431423. The reversal of 141414431400 is 4134414141.

141414431400 is a `hidden beast` number, since 1 + 41 + 41 + 443 + 140 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141414431377) and next prime (141414431423).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2085226 + ... + 2151974.

It is an arithmetic number, because the mean of its divisors is an integer number (1815766875).

Almost surely, 2^141414431400 is an apocalyptic number.

141414431400 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 141414431400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261470430000).

141414431400 is an abundant number, since it is smaller than the sum of its proper divisors (381526428600).

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

141414431400 is a wasteful number, since it uses less digits than its factorization.

141414431400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66889 (or 66877 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 141414431400 its reverse (4134414141), we get a palindrome (145548845541).

The spelling of 141414431400 in words is "one hundred forty-one billion, four hundred fourteen million, four hundred thirty-one thousand, four hundred".