10207962240 has 192 divisors, whose sum is σ = 37850535360. Its totient is φ = 2333227008.

The previous prime is 10207962217. The next prime is 10207962241. The reversal of 10207962240 is 4226970201.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (10207962241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39829 + ... + 148331.

It is an arithmetic number, because the mean of its divisors is an integer number (197138205).

Almost surely, 2^10207962240 is an apocalyptic number.

10207962240 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 10207962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18925267680).

10207962240 is an abundant number, since it is smaller than the sum of its proper divisors (27642573120).

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

10207962240 is a wasteful number, since it uses less digits than its factorization.

10207962240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108539 (or 108520 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 10207962240 in words is "ten billion, two hundred seven million, nine hundred sixty-two thousand, two hundred forty".