11120142342400 has 1296 divisors, whose sum is σ = 36064199493504. Its totient is φ = 3305179054080.

The previous prime is 11120142342311. The next prime is 11120142342427. The reversal of 11120142342400 is 424324102111.

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 143 ways as a sum of consecutive naturals, for example, 47725932684 + ... + 47725932916.

It is an arithmetic number, because the mean of its divisors is an integer number (27827314424).

Almost surely, 2^{11120142342400} is an apocalyptic number.

11120142342400 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 11120142342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18032099746752).

11120142342400 is an abundant number, since it is smaller than the sum of its proper divisors (24944057151104).

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

11120142342400 is a wasteful number, since it uses less digits than its factorization.

11120142342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 11120142342400 its reverse (424324102111), we get a palindrome (11544466444511).

The spelling of 11120142342400 in words is "eleven trillion, one hundred twenty billion, one hundred forty-two million, three hundred forty-two thousand, four hundred".