120340424432340 has 576 divisors, whose sum is σ = 445416307015680. Its totient is φ = 25672024535040.

The previous prime is 120340424432309. The next prime is 120340424432351. The reversal of 120340424432340 is 43234424043021.

120340424432340 is a `hidden beast` number, since 1 + 2 + 0 + 3 + 40 + 4 + 244 + 32 + 340 = 666.

It is a super-2 number, since 2×120340424432340² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 120340424432295 and 120340424432304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4037847879 + ... + 4037877681.

It is an arithmetic number, because the mean of its divisors is an integer number (773292199680).

Almost surely, 2^{120340424432340} is an apocalyptic number.

120340424432340 is a gapful number since it is divisible by the number (10) 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 120340424432340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222708153507840).

120340424432340 is an abundant number, since it is smaller than the sum of its proper divisors (325075882583340).

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

120340424432340 is a wasteful number, since it uses less digits than its factorization.

120340424432340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31412 (or 31407 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 120340424432340 its reverse (43234424043021), we get a palindrome (163574848475361).

The spelling of 120340424432340 in words is "one hundred twenty trillion, three hundred forty billion, four hundred twenty-four million, four hundred thirty-two thousand, three hundred forty".