23434001040 has 160 divisors (see below), whose sum is σ = 73225848960. Its totient is φ = 6199345152.

The previous prime is 23434000973. The next prime is 23434001047. The reversal of 23434001040 is 4010043432.

It is a junction number, because it is equal to n+sod(n) for n = 23434000998 and 23434001016.

It is not an unprimeable number, because it can be changed into a prime (23434001047) 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 31 ways as a sum of consecutive naturals, for example, 27280131 + ... + 27280989.

It is an arithmetic number, because the mean of its divisors is an integer number (457661556).

Almost surely, 2^23434001040 is an apocalyptic number.

23434001040 is a gapful number since it is divisible by the number (20) 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 23434001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612924480).

23434001040 is an abundant number, since it is smaller than the sum of its proper divisors (49791847920).

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

23434001040 is a wasteful number, since it uses less digits than its factorization.

23434001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 23434001040 its reverse (4010043432), we get a palindrome (27444044472).

The spelling of 23434001040 in words is "twenty-three billion, four hundred thirty-four million, one thousand, forty".