9962813444040 has 896 divisors, whose sum is σ = 35399248773120. Its totient is φ = 2519172057600.

The previous prime is 9962813443993. The next prime is 9962813444041. The reversal of 9962813444040 is 404443182699.

9962813444040 is a `hidden beast` number, since 9 + 9 + 6 + 28 + 134 + 440 + 40 = 666.

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 (9962813444041) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16413201417 + ... + 16413202023.

Almost surely, 2^{9962813444040} is an apocalyptic number.

9962813444040 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 9962813444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699624386560).

9962813444040 is an abundant number, since it is smaller than the sum of its proper divisors (25436435329080).

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

9962813444040 is a wasteful number, since it uses less digits than its factorization.

9962813444040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 9962813444040 in words is "nine trillion, nine hundred sixty-two billion, eight hundred thirteen million, four hundred forty-four thousand, forty".