240551125501344 has 384 divisors, whose sum is σ = 744816204840960. Its totient is φ = 66549753446400.

The previous prime is 240551125501307. The next prime is 240551125501361. The reversal of 240551125501344 is 443105521155042.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 240551125501296 and 240551125501305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2291805537 + ... + 2291910495.

It is an arithmetic number, because the mean of its divisors is an integer number (1939625533440).

Almost surely, 2^{240551125501344} is an apocalyptic number.

240551125501344 is a gapful number since it is divisible by the number (24) 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 240551125501344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372408102420480).

240551125501344 is an abundant number, since it is smaller than the sum of its proper divisors (504265079339616).

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

240551125501344 is a wasteful number, since it uses less digits than its factorization.

240551125501344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105644 (or 105636 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

Adding to 240551125501344 its reverse (443105521155042), we get a palindrome (683656646656386).

The spelling of 240551125501344 in words is "two hundred forty trillion, five hundred fifty-one billion, one hundred twenty-five million, five hundred one thousand, three hundred forty-four".