23432619853440 has 1536 divisors, whose sum is σ = 98359073280000. Its totient is φ = 5021469573120.

The previous prime is 23432619853439. The next prime is 23432619853471. The reversal of 23432619853440 is 4435891623432.

23432619853440 is a `hidden beast` number, since 2 + 3 + 4 + 3 + 2 + 6 + 198 + 5 + 3 + 440 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42838427247 + ... + 42838427793.

It is an arithmetic number, because the mean of its divisors is an integer number (64035855000).

Almost surely, 2^{23432619853440} is an apocalyptic number.

23432619853440 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 23432619853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49179536640000).

23432619853440 is an abundant number, since it is smaller than the sum of its proper divisors (74926453426560).

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

23432619853440 is a wasteful number, since it uses less digits than its factorization.

23432619853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 23432619853440 in words is "twenty-three trillion, four hundred thirty-two billion, six hundred nineteen million, eight hundred fifty-three thousand, four hundred forty".