416416001472 has 84 divisors (see below), whose sum is σ = 1199238415336. Its totient is φ = 138147448320.

The previous prime is 416416001429. The next prime is 416416001473. The reversal of 416416001472 is 274100614614.

It is a happy number.

416416001472 is a `hidden beast` number, since 4 + 1 + 6 + 4 + 1 + 600 + 1 + 47 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416416001473) 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 11 ways as a sum of consecutive naturals, for example, 1591603 + ... + 1834674.

Almost surely, 2^416416001472 is an apocalyptic number.

It is an amenable number.

416416001472 is an abundant number, since it is smaller than the sum of its proper divisors (782822413864).

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

416416001472 is a wasteful number, since it uses less digits than its factorization.

416416001472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426506 (or 3426493 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 416416001472 in words is "four hundred sixteen billion, four hundred sixteen million, one thousand, four hundred seventy-two".