340120144413 has 72 divisors (see below), whose sum is σ = 576540367416. Its totient is φ = 192645734400.

The previous prime is 340120144393. The next prime is 340120144451. The reversal of 340120144413 is 314441021043.

340120144413 is a `hidden beast` number, since 3 + 4 + 0 + 1 + 201 + 44 + 413 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 62219315844 + 277900828569 = 249438^2 + 527163^2 .

It is not a de Polignac number, because 340120144413 - 2⁹ = 340120143901 is a prime.

It is a super-2 number, since 2×340120144413² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340120144613) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23909643 + ... + 23923863.

It is an arithmetic number, because the mean of its divisors is an integer number (8007505103).

Almost surely, 2^340120144413 is an apocalyptic number.

It is an amenable number.

340120144413 is a deficient number, since it is larger than the sum of its proper divisors (236420223003).

340120144413 is a wasteful number, since it uses less digits than its factorization.

340120144413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14715 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 340120144413 its reverse (314441021043), we get a palindrome (654561165456).

The spelling of 340120144413 in words is "three hundred forty billion, one hundred twenty million, one hundred forty-four thousand, four hundred thirteen".