240123985920 has 960 divisors, whose sum is σ = 1051647690240. Its totient is φ = 50621054976.

The previous prime is 240123985883. The next prime is 240123985931. The reversal of 240123985920 is 29589321042.

240123985920 is a `hidden beast` number, since 2 + 40 + 12 + 3 + 9 + 8 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×240123985920² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201276844 + ... + 201278036.

It is an arithmetic number, because the mean of its divisors is an integer number (1095466344).

Almost surely, 2^240123985920 is an apocalyptic number.

240123985920 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 240123985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525823845120).

240123985920 is an abundant number, since it is smaller than the sum of its proper divisors (811523704320).

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

240123985920 is a wasteful number, since it uses less digits than its factorization.

240123985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 240123985920 in words is "two hundred forty billion, one hundred twenty-three million, nine hundred eighty-five thousand, nine hundred twenty".