112441254142400 has 336 divisors, whose sum is σ = 295554351882240. Its totient is φ = 42009790771200.

The previous prime is 112441254142381. The next prime is 112441254142423. The reversal of 112441254142400 is 4241452144211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4555400459 + ... + 4555425141.

Almost surely, 2^{112441254142400} is an apocalyptic number.

112441254142400 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 112441254142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147777175941120).

112441254142400 is an abundant number, since it is smaller than the sum of its proper divisors (183113097739840).

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

112441254142400 is a wasteful number, since it uses less digits than its factorization.

112441254142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27932 (or 27917 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 35.

The spelling of 112441254142400 in words is "one hundred twelve trillion, four hundred forty-one billion, two hundred fifty-four million, one hundred forty-two thousand, four hundred".