940048718469120 has 4608 divisors, whose sum is σ = 4066103059200000. Its totient is φ = 204630009053184.

The previous prime is 940048718469109. The next prime is 940048718469167. The reversal of 940048718469120 is 21964817840049.

940048718469120 is a `hidden beast` number, since 9 + 4 + 0 + 0 + 48 + 7 + 1 + 8 + 469 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3003350538084 + ... + 3003350538396.

It is an arithmetic number, because the mean of its divisors is an integer number (882400837500).

Almost surely, 2^{940048718469120} is an apocalyptic number.

940048718469120 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 940048718469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2033051529600000).

940048718469120 is an abundant number, since it is smaller than the sum of its proper divisors (3126054340730880).

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

940048718469120 is a wasteful number, since it uses less digits than its factorization.

940048718469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 940048718469120 in words is "nine hundred forty trillion, forty-eight billion, seven hundred eighteen million, four hundred sixty-nine thousand, one hundred twenty".