110072406400 has 384 divisors, whose sum is σ = 313629926400. Its totient is φ = 37779456000.

The previous prime is 110072406383. The next prime is 110072406401. The reversal of 110072406400 is 4604270011.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110072406401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63957540 + ... + 63959260.

It is an arithmetic number, because the mean of its divisors is an integer number (816744600).

Almost surely, 2^110072406400 is an apocalyptic number.

110072406400 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 110072406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156814963200).

110072406400 is an abundant number, since it is smaller than the sum of its proper divisors (203557520000).

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

110072406400 is a wasteful number, since it uses less digits than its factorization.

110072406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 110072406400 its reverse (4604270011), we get a palindrome (114676676411).

The spelling of 110072406400 in words is "one hundred ten billion, seventy-two million, four hundred six thousand, four hundred".