240156817780264 has 384 divisors, whose sum is σ = 607409335296000. Its totient is φ = 87868859097600.

The previous prime is 240156817780249. The next prime is 240156817780267. The reversal of 240156817780264 is 462087718651042.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (240156817780267) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1874418397 + ... + 1874546515.

It is an arithmetic number, because the mean of its divisors is an integer number (1581795144000).

Almost surely, 2^{240156817780264} 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 240156817780264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303704667648000).

240156817780264 is an abundant number, since it is smaller than the sum of its proper divisors (367252517515736).

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

240156817780264 is a wasteful number, since it uses less digits than its factorization.

240156817780264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128597 (or 128586 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 61.

The spelling of 240156817780264 in words is "two hundred forty trillion, one hundred fifty-six billion, eight hundred seventeen million, seven hundred eighty thousand, two hundred sixty-four".