472261660416 has 1152 divisors, whose sum is σ = 1853401088000. Its totient is φ = 115127599104.

The previous prime is 472261660393. The next prime is 472261660469. The reversal of 472261660416 is 614066162274.

472261660416 is a `hidden beast` number, since 4 + 7 + 2 + 26 + 1 + 6 + 604 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 513886005 + ... + 513886923.

Almost surely, 2^472261660416 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 472261660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926700544000).

472261660416 is an abundant number, since it is smaller than the sum of its proper divisors (1381139427584).

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

472261660416 is a wasteful number, since it uses less digits than its factorization.

472261660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 472261660416 in words is "four hundred seventy-two billion, two hundred sixty-one million, six hundred sixty thousand, four hundred sixteen".