949796989440 has 640 divisors, whose sum is σ = 3491836508160. Its totient is φ = 218407698432.

The previous prime is 949796989433. The next prime is 949796989441. The reversal of 949796989440 is 44989697949.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×949796989440² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (949796989441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98736951 + ... + 98746569.

It is an arithmetic number, because the mean of its divisors is an integer number (5455994544).

Almost surely, 2^949796989440 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 949796989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745918254080).

949796989440 is an abundant number, since it is smaller than the sum of its proper divisors (2542039518720).

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

949796989440 is a wasteful number, since it uses less digits than its factorization.

949796989440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9724 (or 9708 counting only the distinct ones).

The product of its (nonzero) digits is 1269789696, while the sum is 78.

The spelling of 949796989440 in words is "nine hundred forty-nine billion, seven hundred ninety-six million, nine hundred eighty-nine thousand, four hundred forty".