5140004000415 has 64 divisors (see below), whose sum is σ = 8874552627072. Its totient is φ = 2530691072000.

The previous prime is 5140004000401. The next prime is 5140004000431.

It is a happy number.

5140004000415 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5140004000415 - 2⁴ = 5140004000399 is a prime.

It is a super-2 number, since 2×5140004000415² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49967635 + ... + 50070395.

It is an arithmetic number, because the mean of its divisors is an integer number (138664884798).

Almost surely, 2^{5140004000415} is an apocalyptic number.

5140004000415 is a deficient number, since it is larger than the sum of its proper divisors (3734548626657).

5140004000415 is a wasteful number, since it uses less digits than its factorization.

5140004000415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106540.

The product of its (nonzero) digits is 1600, while the sum is 24.

The spelling of 5140004000415 in words is "five trillion, one hundred forty billion, four million, four hundred fifteen", and thus it is an aban number.