414745677040 has 40 divisors (see below), whose sum is σ = 964584043920. Its totient is φ = 165846598656.

The previous prime is 414745677037. The next prime is 414745677053. The reversal of 414745677040 is 40776547414.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 548410 + ... + 1063129.

It is an arithmetic number, because the mean of its divisors is an integer number (24114601098).

Almost surely, 2^414745677040 is an apocalyptic number.

414745677040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

414745677040 is an abundant number, since it is smaller than the sum of its proper divisors (549838366880).

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

414745677040 is a wasteful number, since it uses less digits than its factorization.

414745677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614769 (or 1614763 counting only the distinct ones).

The product of its (nonzero) digits is 2634240, while the sum is 49.

The spelling of 414745677040 in words is "four hundred fourteen billion, seven hundred forty-five million, six hundred seventy-seven thousand, forty".