240551245121440 has 192 divisors, whose sum is σ = 626555519630208. Its totient is φ = 86544035020800.

The previous prime is 240551245121413. The next prime is 240551245121491. The reversal of 240551245121440 is 44121542155042.

It is a super-2 number, since 2×240551245121440² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 240551245121393 and 240551245121402.

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, 543863580 + ... + 544305700.

It is an arithmetic number, because the mean of its divisors is an integer number (3263309998074).

Almost surely, 2^{240551245121440} is an apocalyptic number.

240551245121440 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 240551245121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313277759815104).

240551245121440 is an abundant number, since it is smaller than the sum of its proper divisors (386004274508768).

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

240551245121440 is a wasteful number, since it uses less digits than its factorization.

240551245121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445431 (or 445423 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 40.

Adding to 240551245121440 its reverse (44121542155042), we get a palindrome (284672787276482).

The spelling of 240551245121440 in words is "two hundred forty trillion, five hundred fifty-one billion, two hundred forty-five million, one hundred twenty-one thousand, four hundred forty".