1640038809600 has 1215 divisors, whose sum is σ = 6360408562963. Its totient is φ = 403903610880.

The previous prime is 1640038809589. The next prime is 1640038809611. The reversal of 1640038809600 is 69088300461.

The square root of 1640038809600 is 1280640.

It is a perfect power (a square), and thus also a powerful number.

1640038809600 is a `hidden beast` number, since 1 + 6 + 4 + 0 + 0 + 38 + 8 + 0 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (1640038809589) and next prime (1640038809611).

It can be written as a sum of positive squares in 4 ways, for example, as 22543220736 + 1617495588864 = 150144^2 + 1271808^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 56553062386 + ... + 56553062414.

Almost surely, 2^{1640038809600} is an apocalyptic number.

1640038809600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1640038809600 is the 1280640-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1640038809600

1640038809600 is an abundant number, since it is smaller than the sum of its proper divisors (4720369753363).

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

1640038809600 is an equidigital number, since it uses as much as digits as its factorization.

1640038809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1640038809600 in words is "one trillion, six hundred forty billion, thirty-eight million, eight hundred nine thousand, six hundred".