1100020401400 has 192 divisors, whose sum is σ = 2765841724800. Its totient is φ = 405518400000.

The previous prime is 1100020401353. The next prime is 1100020401437. The reversal of 1100020401400 is 41040200011.

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, 40999990 + ... + 41026810.

It is an arithmetic number, because the mean of its divisors is an integer number (14405425650).

Almost surely, 2^{1100020401400} is an apocalyptic number.

1100020401400 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 1100020401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382920862400).

1100020401400 is an abundant number, since it is smaller than the sum of its proper divisors (1665821323400).

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

1100020401400 is a wasteful number, since it uses less digits than its factorization.

1100020401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27150 (or 27141 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1100020401400 its reverse (41040200011), we get a palindrome (1141060601411).

The spelling of 1100020401400 in words is "one trillion, one hundred billion, twenty million, four hundred one thousand, four hundred".