1640102400 has 360 divisors, whose sum is σ = 6134562720. Its totient is φ = 417669120.

The previous prime is 1640102393. The next prime is 1640102417. The reversal of 1640102400 is 42010461.

1640102400 is a `hidden beast` number, since 1 + 640 + 1 + 0 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2649291 + ... + 2649909.

It is an arithmetic number, because the mean of its divisors is an integer number (17040452).

Almost surely, 2^1640102400 is an apocalyptic number.

1640102400 is a gapful number since it is divisible by the number (10) 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 1640102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3067281360).

1640102400 is an abundant number, since it is smaller than the sum of its proper divisors (4494460320).

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

1640102400 is a wasteful number, since it uses less digits than its factorization.

1640102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1640102400 is about 40498.1777367822. The cubic root of 1640102400 is about 1179.2982517165.

Adding to 1640102400 its reverse (42010461), we get a palindrome (1682112861).

The spelling of 1640102400 in words is "one billion, six hundred forty million, one hundred two thousand, four hundred".