9940387489200 has 2160 divisors, whose sum is σ = 43894771554816. Its totient is φ = 2149759180800.

The previous prime is 9940387489183. The next prime is 9940387489217. The reversal of 9940387489200 is 29847830499.

9940387489200 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 387 + 48 + 9 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (9940387489183) and next prime (9940387489217).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-3 number, since 3×9940387489200³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 11283072760 + ... + 11283073640.

Almost surely, 2^{9940387489200} is an apocalyptic number.

9940387489200 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 9940387489200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21947385777408).

9940387489200 is an abundant number, since it is smaller than the sum of its proper divisors (33954384065616).

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

9940387489200 is a wasteful number, since it uses less digits than its factorization.

9940387489200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 9940387489200 in words is "nine trillion, nine hundred forty billion, three hundred eighty-seven million, four hundred eighty-nine thousand, two hundred".