120440302343440 has 80 divisors (see below), whose sum is σ = 286856722338480. Its totient is φ = 47000573706240.

The previous prime is 120440302343371. The next prime is 120440302343549. The reversal of 120440302343440 is 44343203044021.

It can be written as a sum of positive squares in 8 ways, for example, as 6405839512576 + 114034462830864 = 2530976^2 + 10678692^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×120440302343440² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120440302343396 and 120440302343405.

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, 445383952 + ... + 445654288.

It is an arithmetic number, because the mean of its divisors is an integer number (3585709029231).

Almost surely, 2^{120440302343440} is an apocalyptic number.

120440302343440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120440302343440 is an abundant number, since it is smaller than the sum of its proper divisors (166416419995040).

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

120440302343440 is a wasteful number, since it uses less digits than its factorization.

120440302343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406220 (or 406214 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 120440302343440 its reverse (44343203044021), we get a palindrome (164783505387461).

The spelling of 120440302343440 in words is "one hundred twenty trillion, four hundred forty billion, three hundred two million, three hundred forty-three thousand, four hundred forty".