4140526400415 has 64 divisors (see below), whose sum is σ = 7795981987200. Its totient is φ = 2077835231232.

The previous prime is 4140526400411. The next prime is 4140526400503. The reversal of 4140526400415 is 5140046250414.

4140526400415 is a `hidden beast` number, since 4 + 1 + 4 + 0 + 5 + 2 + 640 + 0 + 4 + 1 + 5 = 666.

It is not a de Polignac number, because 4140526400415 - 2² = 4140526400411 is a prime.

It is a super-3 number, since 3×4140526400415³ (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4140526400415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140526400411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8561391 + ... + 9032079.

It is an arithmetic number, because the mean of its divisors is an integer number (121812218550).

Almost surely, 2^{4140526400415} is an apocalyptic number.

4140526400415 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4140526400415 is a deficient number, since it is larger than the sum of its proper divisors (3655455586785).

4140526400415 is a wasteful number, since it uses less digits than its factorization.

4140526400415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474553 (or 474547 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 4140526400415 in words is "four trillion, one hundred forty billion, five hundred twenty-six million, four hundred thousand, four hundred fifteen".