1640288905038 has 48 divisors (see below), whose sum is σ = 4275439758720. Its totient is φ = 443987973648.

The previous prime is 1640288905037. The next prime is 1640288905043. The reversal of 1640288905038 is 8305098820461.

1640288905038 is a `hidden beast` number, since 1 + 6 + 40 + 2 + 8 + 8 + 90 + 503 + 8 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640288905037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342580920 + ... + 342585707.

It is an arithmetic number, because the mean of its divisors is an integer number (89071661640).

Almost surely, 2^{1640288905038} is an apocalyptic number.

1640288905038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1640288905038 is an abundant number, since it is smaller than the sum of its proper divisors (2635150853682).

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

1640288905038 is a wasteful number, since it uses less digits than its factorization.

1640288905038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685166661 (or 685166658 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1640288905038 in words is "one trillion, six hundred forty billion, two hundred eighty-eight million, nine hundred five thousand, thirty-eight".