9962438940 has 192 divisors, whose sum is σ = 32904144000. Its totient is φ = 2493775872.

The previous prime is 9962438939. The next prime is 9962438963. The reversal of 9962438940 is 498342699.

9962438940 is a `hidden beast` number, since 9 + 9 + 624 + 3 + 8 + 9 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4120612 + ... + 4123028.

It is an arithmetic number, because the mean of its divisors is an integer number (171375750).

Almost surely, 2^9962438940 is an apocalyptic number.

9962438940 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 9962438940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072000).

9962438940 is an abundant number, since it is smaller than the sum of its proper divisors (22941705060).

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

9962438940 is a wasteful number, since it uses less digits than its factorization.

With its successor (9962438941) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (2893).

9962438940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 9962438940 is about 99812.0180138644. The cubic root of 9962438940 is about 2151.7338773359.

The spelling of 9962438940 in words is "nine billion, nine hundred sixty-two million, four hundred thirty-eight thousand, nine hundred forty".