1110400410400 has 288 divisors, whose sum is σ = 2919397396608. Its totient is φ = 410907033600.

The previous prime is 1110400410389. The next prime is 1110400410419. The reversal of 1110400410400 is 40140040111.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 360167259 + ... + 360170341.

It is an arithmetic number, because the mean of its divisors is an integer number (10136796516).

Almost surely, 2^{1110400410400} is an apocalyptic number.

1110400410400 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 1110400410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459698698304).

1110400410400 is an abundant number, since it is smaller than the sum of its proper divisors (1808996986208).

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

1110400410400 is a wasteful number, since it uses less digits than its factorization.

1110400410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3564 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1110400410400 its reverse (40140040111), we get a palindrome (1150540450511).

The spelling of 1110400410400 in words is "one trillion, one hundred ten billion, four hundred million, four hundred ten thousand, four hundred".