1640201472 has 216 divisors, whose sum is σ = 5821181184. Its totient is φ = 432525312.

The previous prime is 1640201443. The next prime is 1640201483. The reversal of 1640201472 is 2741020461.

1640201472 is a `hidden beast` number, since 1 + 640 + 2 + 0 + 14 + 7 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205753 + ... + 213575.

Almost surely, 2^1640201472 is an apocalyptic number.

1640201472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640201472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910590592).

1640201472 is an abundant number, since it is smaller than the sum of its proper divisors (4180979712).

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

1640201472 is a wasteful number, since it uses less digits than its factorization.

1640201472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7865 (or 7848 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 1640201472 is about 40499.4008844575. The cubic root of 1640201472 is about 1179.3219967957.

The spelling of 1640201472 in words is "one billion, six hundred forty million, two hundred one thousand, four hundred seventy-two".