940287866976 has 288 divisors, whose sum is σ = 2856957143040. Its totient is φ = 292483602432.

The previous prime is 940287866953. The next prime is 940287866993. The reversal of 940287866976 is 679668782049.

940287866976 is a `hidden beast` number, since 9 + 402 + 8 + 78 + 66 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 47 ways as a sum of consecutive naturals, for example, 593990281 + ... + 593991863.

It is an arithmetic number, because the mean of its divisors is an integer number (9919990080).

Almost surely, 2^940287866976 is an apocalyptic number.

940287866976 is a gapful number since it is divisible by the number (96) 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 940287866976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428478571520).

940287866976 is an abundant number, since it is smaller than the sum of its proper divisors (1916669276064).

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

940287866976 is a wasteful number, since it uses less digits than its factorization.

940287866976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3178 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 940287866976 in words is "nine hundred forty billion, two hundred eighty-seven million, eight hundred sixty-six thousand, nine hundred seventy-six".