10243036178640 has 960 divisors, whose sum is σ = 38169169516800. Its totient is φ = 2523918237696.

The previous prime is 10243036178629. The next prime is 10243036178647. The reversal of 10243036178640 is 4687163034201.

10243036178640 is a `hidden beast` number, since 1 + 0 + 2 + 430 + 3 + 6 + 178 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10243036178647) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8416627312 + ... + 8416628528.

It is an arithmetic number, because the mean of its divisors is an integer number (39759551580).

Almost surely, 2^{10243036178640} is an apocalyptic number.

10243036178640 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 10243036178640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19084584758400).

10243036178640 is an abundant number, since it is smaller than the sum of its proper divisors (27926133338160).

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

10243036178640 is a wasteful number, since it uses less digits than its factorization.

10243036178640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1509 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10243036178640 in words is "ten trillion, two hundred forty-three billion, thirty-six million, one hundred seventy-eight thousand, six hundred forty".