909950000040 has 384 divisors, whose sum is σ = 3165166368000. Its totient is φ = 226157015040.

The previous prime is 909950000039. The next prime is 909950000059. The reversal of 909950000040 is 40000059909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 433514911 + ... + 433517009.

It is an arithmetic number, because the mean of its divisors is an integer number (8242620750).

Almost surely, 2^909950000040 is an apocalyptic number.

909950000040 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 909950000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582583184000).

909950000040 is an abundant number, since it is smaller than the sum of its proper divisors (2255216367960).

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

909950000040 is a wasteful number, since it uses less digits than its factorization.

909950000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3457 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Adding to 909950000040 its reverse (40000059909), we get a palindrome (949950059949).

The spelling of 909950000040 in words is "nine hundred nine billion, nine hundred fifty million, forty", and thus it is an aban number.