1114530042400 has 144 divisors (see below), whose sum is σ = 2763074026944. Its totient is φ = 438929914880.

The previous prime is 1114530042391. The next prime is 1114530042421. The reversal of 1114530042400 is 42400354111.

It is a super-3 number, since 3×1114530042400³ (a number of 37 digits) contains 333 as substring.

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

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, 19426557 + ... + 19483843.

It is an arithmetic number, because the mean of its divisors is an integer number (19188014076).

Almost surely, 2^{1114530042400} is an apocalyptic number.

1114530042400 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 1114530042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381537013472).

1114530042400 is an abundant number, since it is smaller than the sum of its proper divisors (1648543984544).

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

1114530042400 is a wasteful number, since it uses less digits than its factorization.

1114530042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57683 (or 57670 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1114530042400 its reverse (42400354111), we get a palindrome (1156930396511).

The spelling of 1114530042400 in words is "one trillion, one hundred fourteen billion, five hundred thirty million, forty-two thousand, four hundred".