1114413302400 has 192 divisors, whose sum is σ = 3674879435520. Its totient is φ = 296830320640.

The previous prime is 1114413302389. The next prime is 1114413302413. The reversal of 1114413302400 is 42033144111.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8217544 + ... + 8352056.

It is an arithmetic number, because the mean of its divisors is an integer number (19139997060).

Almost surely, 2^{1114413302400} is an apocalyptic number.

1114413302400 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 1114413302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837439717760).

1114413302400 is an abundant number, since it is smaller than the sum of its proper divisors (2560466133120).

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

1114413302400 is a wasteful number, since it uses less digits than its factorization.

1114413302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135403 (or 135386 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1114413302400 its reverse (42033144111), we get a palindrome (1156446446511).

The spelling of 1114413302400 in words is "one trillion, one hundred fourteen billion, four hundred thirteen million, three hundred two thousand, four hundred".