23940766040100 has 864 divisors, whose sum is σ = 95330701777920. Its totient is φ = 4503862517760.

The previous prime is 23940766040077. The next prime is 23940766040141. The reversal of 23940766040100 is 104066704932.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 149824447 + ... + 149984153.

Almost surely, 2^{23940766040100} is an apocalyptic number.

23940766040100 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 23940766040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47665350888960).

23940766040100 is an abundant number, since it is smaller than the sum of its proper divisors (71389935737820).

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

23940766040100 is a wasteful number, since it uses less digits than its factorization.

23940766040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159797 (or 159773 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 23940766040100 in words is "twenty-three trillion, nine hundred forty billion, seven hundred sixty-six million, forty thousand, one hundred".