950545128240 has 800 divisors, whose sum is σ = 3556668192000. Its totient is φ = 234568452096.

The previous prime is 950545128223. The next prime is 950545128277. The reversal of 950545128240 is 42821545059.

950545128240 is a `hidden beast` number, since 9 + 5 + 0 + 54 + 512 + 82 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1146616146 + ... + 1146616974.

It is an arithmetic number, because the mean of its divisors is an integer number (4445835240).

Almost surely, 2^950545128240 is an apocalyptic number.

950545128240 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 950545128240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778334096000).

950545128240 is an abundant number, since it is smaller than the sum of its proper divisors (2606123063760).

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

950545128240 is a wasteful number, since it uses less digits than its factorization.

950545128240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 950545128240 in words is "nine hundred fifty billion, five hundred forty-five million, one hundred twenty-eight thousand, two hundred forty".