9914542125840 has 1280 divisors, whose sum is σ = 39203740800000. Its totient is φ = 2309449605120.

The previous prime is 9914542125793. The next prime is 9914542125841. The reversal of 9914542125840 is 485212454199.

9914542125840 is a `hidden beast` number, since 9 + 9 + 1 + 4 + 5 + 42 + 12 + 584 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9914542125841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 19478471506 + ... + 19478472014.

It is an arithmetic number, because the mean of its divisors is an integer number (30627922500).

Almost surely, 2^{9914542125840} is an apocalyptic number.

9914542125840 is a gapful number since it is divisible by the number (90) 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 9914542125840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601870400000).

9914542125840 is an abundant number, since it is smaller than the sum of its proper divisors (29289198674160).

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

9914542125840 is a wasteful number, since it uses less digits than its factorization.

9914542125840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 9914542125840 in words is "nine trillion, nine hundred fourteen billion, five hundred forty-two million, one hundred twenty-five thousand, eight hundred forty".