111725938621440 has 4224 divisors, whose sum is σ = 497923992115200. Its totient is φ = 23551672320000.

The previous prime is 111725938621397. The next prime is 111725938621447. The reversal of 111725938621440 is 44126839527111.

111725938621440 is a `hidden beast` number, since 1 + 1 + 1 + 7 + 2 + 5 + 9 + 3 + 8 + 621 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111725938621447) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 445123261315 + ... + 445123261565.

It is a 1-persistent number, because it is pandigital, but 2⋅111725938621440 = 223451877242880 is not.

Almost surely, 2^{111725938621440} is an apocalyptic number.

111725938621440 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 111725938621440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248961996057600).

111725938621440 is an abundant number, since it is smaller than the sum of its proper divisors (386198053493760).

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

111725938621440 is a wasteful number, since it uses less digits than its factorization.

111725938621440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 111725938621440 in words is "one hundred eleven trillion, seven hundred twenty-five billion, nine hundred thirty-eight million, six hundred twenty-one thousand, four hundred forty".