414002045536 has 96 divisors (see below), whose sum is σ = 878768352000. Its totient is φ = 191404933632.

The previous prime is 414002045491. The next prime is 414002045537. The reversal of 414002045536 is 635540200414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414002045537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4393605 + ... + 4486843.

It is an arithmetic number, because the mean of its divisors is an integer number (9153837000).

Almost surely, 2^414002045536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414002045536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439384176000).

414002045536 is an abundant number, since it is smaller than the sum of its proper divisors (464766306464).

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

414002045536 is a wasteful number, since it uses less digits than its factorization.

414002045536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93444 (or 93436 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 414002045536 in words is "four hundred fourteen billion, two million, forty-five thousand, five hundred thirty-six".