4013135653540 has 48 divisors (see below), whose sum is σ = 9081405798192. Its totient is φ = 1480867831296.

The previous prime is 4013135653477. The next prime is 4013135653603. The reversal of 4013135653540 is 453565313104.

It is an interprime number because it is at equal distance from previous prime (4013135653477) and next prime (4013135653603).

It can be written as a sum of positive squares in 8 ways, for example, as 215438935716 + 3797696717824 = 464154^2 + 1948768^2 .

It is a super-2 number, since 2×4013135653540² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4013135653493 and 4013135653502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4288839 + ... + 5140078.

It is an arithmetic number, because the mean of its divisors is an integer number (189195954129).

Almost surely, 2^{4013135653540} is an apocalyptic number.

It is an amenable number.

4013135653540 is an abundant number, since it is smaller than the sum of its proper divisors (5068270144652).

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

4013135653540 is a wasteful number, since it uses less digits than its factorization.

4013135653540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430576 (or 9430574 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 4013135653540 in words is "four trillion, thirteen billion, one hundred thirty-five million, six hundred fifty-three thousand, five hundred forty".