10962462685440 has 1152 divisors, whose sum is σ = 41592737894400. Its totient is φ = 2409330769920.

The previous prime is 10962462685423. The next prime is 10962462685441. The reversal of 10962462685440 is 4458626426901.

It is not an unprimeable number, because it can be changed into a prime (10962462685441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14834184591 + ... + 14834185329.

It is an arithmetic number, because the mean of its divisors is an integer number (36104807200).

Almost surely, 2^{10962462685440} is an apocalyptic number.

10962462685440 is a gapful number since it is divisible by the number (10) 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 10962462685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20796368947200).

10962462685440 is an abundant number, since it is smaller than the sum of its proper divisors (30630275208960).

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

10962462685440 is a wasteful number, since it uses less digits than its factorization.

10962462685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 10962462685440 in words is "ten trillion, nine hundred sixty-two billion, four hundred sixty-two million, six hundred eighty-five thousand, four hundred forty".