1110111020400 has 240 divisors, whose sum is σ = 3615601328768. Its totient is φ = 291088512000.

The previous prime is 1110111020341. The next prime is 1110111020419. The reversal of 1110111020400 is 40201110111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1110111020400² (a number of 25 digits) contains 22 as substring.

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

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, 45896310 + ... + 45920490.

Almost surely, 2^{1110111020400} is an apocalyptic number.

1110111020400 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 1110111020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807800664384).

1110111020400 is an abundant number, since it is smaller than the sum of its proper divisors (2505490308368).

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

1110111020400 is a wasteful number, since it uses less digits than its factorization.

1110111020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24840 (or 24829 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1110111020400 its reverse (40201110111), we get a palindrome (1150312130511).

The spelling of 1110111020400 in words is "one trillion, one hundred ten billion, one hundred eleven million, twenty thousand, four hundred".