909993920040 has 320 divisors, whose sum is σ = 3241700352000. Its totient is φ = 228165507072.

The previous prime is 909993920009. The next prime is 909993920041. The reversal of 909993920040 is 40029399909.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (909993920041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59864361 + ... + 59879559.

It is an arithmetic number, because the mean of its divisors is an integer number (10130313600).

Almost surely, 2^909993920040 is an apocalyptic number.

909993920040 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 909993920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620850176000).

909993920040 is an abundant number, since it is smaller than the sum of its proper divisors (2331706431960).

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

909993920040 is a wasteful number, since it uses less digits than its factorization.

909993920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16326 (or 16313 counting only the distinct ones).

The product of its (nonzero) digits is 1417176, while the sum is 54.

The spelling of 909993920040 in words is "nine hundred nine billion, nine hundred ninety-three million, nine hundred twenty thousand, forty".