1640133900000 has 576 divisors, whose sum is σ = 6035210596800. Its totient is φ = 433278720000.

The previous prime is 1640133899993. The next prime is 1640133900001. The reversal of 1640133900000 is 93310461.

1640133900000 is a `hidden beast` number, since 1 + 640 + 13 + 3 + 9 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640133900001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 294297214 + ... + 294302786.

It is an arithmetic number, because the mean of its divisors is an integer number (10477796175).

Almost surely, 2^{1640133900000} is an apocalyptic number.

1640133900000 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 1640133900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3017605298400).

1640133900000 is an abundant number, since it is smaller than the sum of its proper divisors (4395076696800).

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

1640133900000 is an equidigital number, since it uses as much as digits as its factorization.

1640133900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5726 (or 5692 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 1640133900000 in words is "one trillion, six hundred forty billion, one hundred thirty-three million, nine hundred thousand".