949221679823040 has 1792 divisors, whose sum is σ = 3593463603609600. Its totient is φ = 210175053004800.

The previous prime is 949221679822987. The next prime is 949221679823093. The reversal of 949221679823040 is 40328976122949.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (949221679822987) and next prime (949221679823093).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 194154564916 + ... + 194154569804.

It is an arithmetic number, because the mean of its divisors is an integer number (2005281028800).

Almost surely, 2^{949221679823040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949221679823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796731801804800).

949221679823040 is an abundant number, since it is smaller than the sum of its proper divisors (2644241923786560).

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

949221679823040 is a wasteful number, since it uses less digits than its factorization.

949221679823040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5456 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 66.

The spelling of 949221679823040 in words is "nine hundred forty-nine trillion, two hundred twenty-one billion, six hundred seventy-nine million, eight hundred twenty-three thousand, forty".