949203066240 has 1536 divisors, whose sum is σ = 4069539532800. Its totient is φ = 207609937920.

The previous prime is 949203066239. The next prime is 949203066257. The reversal of 949203066240 is 42660302949.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1277527309 + ... + 1277528051.

It is an arithmetic number, because the mean of its divisors is an integer number (2649439800).

Almost surely, 2^949203066240 is an apocalyptic number.

949203066240 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 949203066240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034769766400).

949203066240 is an abundant number, since it is smaller than the sum of its proper divisors (3120336466560).

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

949203066240 is a wasteful number, since it uses less digits than its factorization.

949203066240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 949203066240 in words is "nine hundred forty-nine billion, two hundred three million, sixty-six thousand, two hundred forty".