240778417320 has 1024 divisors, whose sum is σ = 1040449536000. Its totient is φ = 48242304000.

The previous prime is 240778417291. The next prime is 240778417337. The reversal of 240778417320 is 23714877042.

240778417320 is a `hidden beast` number, since 2 + 407 + 78 + 4 + 173 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102414145 + ... + 102416495.

It is an arithmetic number, because the mean of its divisors is an integer number (1016064000).

Almost surely, 2^240778417320 is an apocalyptic number.

240778417320 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 240778417320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520224768000).

240778417320 is an abundant number, since it is smaller than the sum of its proper divisors (799671118680).

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

240778417320 is a wasteful number, since it uses less digits than its factorization.

240778417320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 240778417320 in words is "two hundred forty billion, seven hundred seventy-eight million, four hundred seventeen thousand, three hundred twenty".