240020206593168 has 160 divisors (see below), whose sum is σ = 653529171456000. Its totient is φ = 75698022901248.

The previous prime is 240020206593143. The next prime is 240020206593191. The reversal of 240020206593168 is 861395602020042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7948463446 + ... + 7948493642.

It is an arithmetic number, because the mean of its divisors is an integer number (4084557321600).

Almost surely, 2^{240020206593168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240020206593168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326764585728000).

240020206593168 is an abundant number, since it is smaller than the sum of its proper divisors (413508964862832).

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

240020206593168 is a wasteful number, since it uses less digits than its factorization.

240020206593168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41189 (or 41183 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 240020206593168 in words is "two hundred forty trillion, twenty billion, two hundred six million, five hundred ninety-three thousand, one hundred sixty-eight".