1106420132400 has 960 divisors, whose sum is σ = 4194496535040. Its totient is φ = 246310502400.

The previous prime is 1106420132371. The next prime is 1106420132401. The reversal of 1106420132400 is 42310246011.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1106420132401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2555242584 + ... + 2555243016.

It is an arithmetic number, because the mean of its divisors is an integer number (4369267224).

Almost surely, 2^{1106420132400} is an apocalyptic number.

1106420132400 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 1106420132400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097248267520).

1106420132400 is an abundant number, since it is smaller than the sum of its proper divisors (3088076402640).

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

1106420132400 is a wasteful number, since it uses less digits than its factorization.

1106420132400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1106420132400 its reverse (42310246011), we get a palindrome (1148730378411).

The spelling of 1106420132400 in words is "one trillion, one hundred six billion, four hundred twenty million, one hundred thirty-two thousand, four hundred".