949014204480 has 448 divisors, whose sum is σ = 3380851353600. Its totient is φ = 250590689280.

The previous prime is 949014204421. The next prime is 949014204491. The reversal of 949014204480 is 84402410949.

949014204480 is a `hidden beast` number, since 9 + 490 + 1 + 42 + 0 + 44 + 80 = 666.

It is a super-3 number, since 3×949014204480³ (a number of 37 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 63 ways as a sum of consecutive naturals, for example, 604082095 + ... + 604083665.

It is an arithmetic number, because the mean of its divisors is an integer number (7546543200).

Almost surely, 2^949014204480 is an apocalyptic number.

949014204480 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 949014204480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1690425676800).

949014204480 is an abundant number, since it is smaller than the sum of its proper divisors (2431837149120).

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

949014204480 is a wasteful number, since it uses less digits than its factorization.

949014204480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 949014204480 in words is "nine hundred forty-nine billion, fourteen million, two hundred four thousand, four hundred eighty".