414151411156 has 48 divisors (see below), whose sum is σ = 845012165760. Its totient is φ = 173934529920.

The previous prime is 414151411153. The next prime is 414151411183. The reversal of 414151411156 is 651114151414.

It is a super-2 number, since 2×414151411156² (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 (414151411153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8751 + ... + 910153.

It is an arithmetic number, because the mean of its divisors is an integer number (17604420120).

Almost surely, 2^414151411156 is an apocalyptic number.

It is an amenable number.

414151411156 is an abundant number, since it is smaller than the sum of its proper divisors (430860754604).

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

414151411156 is a wasteful number, since it uses less digits than its factorization.

414151411156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901744 (or 901742 counting only the distinct ones).

The product of its digits is 9600, while the sum is 34.

The spelling of 414151411156 in words is "four hundred fourteen billion, one hundred fifty-one million, four hundred eleven thousand, one hundred fifty-six".