100440414200000 has 336 divisors, whose sum is σ = 291656787645888. Its totient is φ = 33596774400000.

The previous prime is 100440414199933. The next prime is 100440414200033. The reversal of 100440414200000 is 2414044001.

It is a happy number.

100440414200000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 56525084 + ... + 58274916.

It is an arithmetic number, because the mean of its divisors is an integer number (868026153708).

Almost surely, 2^{100440414200000} is an apocalyptic number.

100440414200000 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 100440414200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145828393822944).

100440414200000 is an abundant number, since it is smaller than the sum of its proper divisors (191216373445888).

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

100440414200000 is an frugal number, since it uses more digits than its factorization.

100440414200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1749918 (or 1749888 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100440414200000 its reverse (2414044001), we get a palindrome (100442828244001).

The spelling of 100440414200000 in words is "one hundred trillion, four hundred forty billion, four hundred fourteen million, two hundred thousand".