100014411144000 has 448 divisors, whose sum is σ = 347701170585600. Its totient is φ = 25261555968000.

The previous prime is 100014411143989. The next prime is 100014411144007. The reversal of 100014411144000 is 441114410001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100014411144007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2498403985 + ... + 2498444015.

Almost surely, 2^{100014411144000} is an apocalyptic number.

100014411144000 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 100014411144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173850585292800).

100014411144000 is an abundant number, since it is smaller than the sum of its proper divisors (247686759441600).

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

100014411144000 is a wasteful number, since it uses less digits than its factorization.

100014411144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45559 (or 45539 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100014411144000 its reverse (441114410001), we get a palindrome (100455525554001).

The spelling of 100014411144000 in words is "one hundred trillion, fourteen billion, four hundred eleven million, one hundred forty-four thousand".