110000510000400 has 480 divisors, whose sum is σ = 367497696070656. Its totient is φ = 28093824000000.

The previous prime is 110000510000393. The next prime is 110000510000519. The reversal of 110000510000400 is 4000015000011.

It is a happy number.

It is a super-2 number, since 2×110000510000400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11110035450 + ... + 11110045350.

Almost surely, 2^{110000510000400} is an apocalyptic number.

110000510000400 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 110000510000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183748848035328).

110000510000400 is an abundant number, since it is smaller than the sum of its proper divisors (257497186070256).

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

110000510000400 is a wasteful number, since it uses less digits than its factorization.

110000510000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13011 (or 13000 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 110000510000400 its reverse (4000015000011), we get a palindrome (114000525000411).

The spelling of 110000510000400 in words is "one hundred ten trillion, five hundred ten million, four hundred", and thus it is an aban number.