1114154414400 has 336 divisors, whose sum is σ = 3685784880384. Its totient is φ = 294644613120.

The previous prime is 1114154414393. The next prime is 1114154414407. The reversal of 1114154414400 is 44144514111.

It is an interprime number because it is at equal distance from previous prime (1114154414393) and next prime (1114154414407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114154414407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 327017497 + ... + 327020903.

Almost surely, 2^{1114154414400} is an apocalyptic number.

1114154414400 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 1114154414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842892440192).

1114154414400 is an abundant number, since it is smaller than the sum of its proper divisors (2571630465984).

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

1114154414400 is a wasteful number, since it uses less digits than its factorization.

1114154414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3978 (or 3963 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

Adding to 1114154414400 its reverse (44144514111), we get a palindrome (1158298928511).

The spelling of 1114154414400 in words is "one trillion, one hundred fourteen billion, one hundred fifty-four million, four hundred fourteen thousand, four hundred".