9940145402880 has 4224 divisors, whose sum is σ = 48343083909120. Its totient is φ = 1896219279360.

The previous prime is 9940145402879. The next prime is 9940145402903. The reversal of 9940145402880 is 882045410499.

It is a happy number.

9940145402880 is a `hidden beast` number, since 9 + 9 + 4 + 0 + 14 + 540 + 2 + 8 + 80 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 78268861377 + ... + 78268861503.

It is an arithmetic number, because the mean of its divisors is an integer number (11444858880).

Almost surely, 2^{9940145402880} is an apocalyptic number.

9940145402880 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 9940145402880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24171541954560).

9940145402880 is an abundant number, since it is smaller than the sum of its proper divisors (38402938506240).

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

9940145402880 is a wasteful number, since it uses less digits than its factorization.

9940145402880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 9940145402880 in words is "nine trillion, nine hundred forty billion, one hundred forty-five million, four hundred two thousand, eight hundred eighty".