240024021340440 has 64 divisors (see below), whose sum is σ = 720100219737600. Its totient is φ = 64003902960512.

The previous prime is 240024021340427. The next prime is 240024021340463. The reversal of 240024021340440 is 44043120420042.

It is a super-3 number, since 3×240024021340440³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 240024021340398 and 240024021340407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36022410 + ... + 42162329.

It is an arithmetic number, because the mean of its divisors is an integer number (11251565933400).

Almost surely, 2^{240024021340440} is an apocalyptic number.

240024021340440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240024021340440 is an abundant number, since it is smaller than the sum of its proper divisors (480076198397160).

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

240024021340440 is a wasteful number, since it uses less digits than its factorization.

240024021340440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78210336 (or 78210332 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 240024021340440 its reverse (44043120420042), we get a palindrome (284067141760482).

The spelling of 240024021340440 in words is "two hundred forty trillion, twenty-four billion, twenty-one million, three hundred forty thousand, four hundred forty".