1134024100400 has 120 divisors (see below), whose sum is σ = 2791871829600. Its totient is φ = 442398873600.

The previous prime is 1134024100381. The next prime is 1134024100477. The reversal of 1134024100400 is 40014204311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58357886 + ... + 58377314.

It is an arithmetic number, because the mean of its divisors is an integer number (23265598580).

Almost surely, 2^{1134024100400} is an apocalyptic number.

1134024100400 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 1134024100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395935914800).

1134024100400 is an abundant number, since it is smaller than the sum of its proper divisors (1657847729200).

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

1134024100400 is a wasteful number, since it uses less digits than its factorization.

1134024100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23047 (or 23036 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1134024100400 its reverse (40014204311), we get a palindrome (1174038304711).

The spelling of 1134024100400 in words is "one trillion, one hundred thirty-four billion, twenty-four million, one hundred thousand, four hundred".