240423819055056 has 2400 divisors, whose sum is σ = 937931968512000. Its totient is φ = 58751852414976.

The previous prime is 240423819055019. The next prime is 240423819055087. The reversal of 240423819055056 is 650550918324042.

240423819055056 is a `hidden beast` number, since 2 + 4 + 0 + 4 + 2 + 3 + 81 + 9 + 0 + 550 + 5 + 6 = 666.

It is a super-2 number, since 2×240423819055056² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 240423819054993 and 240423819055011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 221181065745 + ... + 221181066831.

It is an arithmetic number, because the mean of its divisors is an integer number (390804986880).

Almost surely, 2^{240423819055056} is an apocalyptic number.

240423819055056 is a gapful number since it is divisible by the number (26) 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 240423819055056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468965984256000).

240423819055056 is an abundant number, since it is smaller than the sum of its proper divisors (697508149456944).

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

240423819055056 is a wasteful number, since it uses less digits than its factorization.

240423819055056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 240423819055056 in words is "two hundred forty trillion, four hundred twenty-three billion, eight hundred nineteen million, fifty-five thousand, fifty-six".