1040256164010 has 128 divisors (see below), whose sum is σ = 2978228736000. Its totient is φ = 227366194176.

The previous prime is 1040256163949. The next prime is 1040256164011. The reversal of 1040256164010 is 104616520401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1040256164011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16869394 + ... + 16930946.

It is an arithmetic number, because the mean of its divisors is an integer number (23267412000).

Almost surely, 2^{1040256164010} is an apocalyptic number.

1040256164010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040256164010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489114368000).

1040256164010 is an abundant number, since it is smaller than the sum of its proper divisors (1937972571990).

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

1040256164010 is a wasteful number, since it uses less digits than its factorization.

1040256164010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65092.

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 1040256164010 in words is "one trillion, forty billion, two hundred fifty-six million, one hundred sixty-four thousand, ten".