10164361240 has 128 divisors (see below), whose sum is σ = 25308599040. Its totient is φ = 3643200000.

The previous prime is 10164361223. The next prime is 10164361267. The reversal of 10164361240 is 4216346101.

It is a junction number, because it is equal to n+sod(n) for n = 10164361199 and 10164361208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14709295 + ... + 14709985.

It is an arithmetic number, because the mean of its divisors is an integer number (197723430).

Almost surely, 2^10164361240 is an apocalyptic number.

10164361240 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 10164361240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12654299520).

10164361240 is an abundant number, since it is smaller than the sum of its proper divisors (15144237800).

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

10164361240 is a wasteful number, since it uses less digits than its factorization.

10164361240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10164361240 in words is "ten billion, one hundred sixty-four million, three hundred sixty-one thousand, two hundred forty".