10132414042200 has 192 divisors, whose sum is σ = 31492333171200. Its totient is φ = 2694940416000.

The previous prime is 10132414042199. The next prime is 10132414042271. The reversal of 10132414042200 is 224041423101.

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, 1378368525 + ... + 1378375875.

It is an arithmetic number, because the mean of its divisors is an integer number (164022568600).

Almost surely, 2^{10132414042200} is an apocalyptic number.

10132414042200 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 10132414042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15746166585600).

10132414042200 is an abundant number, since it is smaller than the sum of its proper divisors (21359919129000).

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

10132414042200 is a wasteful number, since it uses less digits than its factorization.

10132414042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13042 (or 13033 counting only the distinct ones).

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

Adding to 10132414042200 its reverse (224041423101), we get a palindrome (10356455465301).

The spelling of 10132414042200 in words is "ten trillion, one hundred thirty-two billion, four hundred fourteen million, forty-two thousand, two hundred".