414005011355 has 48 divisors (see below), whose sum is σ = 568116654336. Its totient is φ = 288909878400.

The previous prime is 414005011351. The next prime is 414005011411. The reversal of 414005011355 is 553110500414.

It is not a de Polignac number, because 414005011355 - 2² = 414005011351 is a prime.

It is a super-3 number, since 3×414005011355³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (414005011351) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1484780 + ... + 1741430.

It is an arithmetic number, because the mean of its divisors is an integer number (11835763632).

Almost surely, 2^414005011355 is an apocalyptic number.

414005011355 is a deficient number, since it is larger than the sum of its proper divisors (154111642981).

414005011355 is a wasteful number, since it uses less digits than its factorization.

414005011355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256788 (or 256775 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 414005011355 its reverse (553110500414), we get a palindrome (967115511769).

The spelling of 414005011355 in words is "four hundred fourteen billion, five million, eleven thousand, three hundred fifty-five".