1640528004819 has 32 divisors (see below), whose sum is σ = 2514965564160. Its totient is φ = 940747824000.

The previous prime is 1640528004809. The next prime is 1640528004821. The reversal of 1640528004819 is 9184008250461.

It is not a de Polignac number, because 1640528004819 - 2²⁷ = 1640393787091 is a prime.

It is a super-2 number, since 2×1640528004819² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1640528004809) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1141732 + ... + 2141169.

It is an arithmetic number, because the mean of its divisors is an integer number (78592673880).

Almost surely, 2^{1640528004819} is an apocalyptic number.

1640528004819 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1640528004819 is a deficient number, since it is larger than the sum of its proper divisors (874437559341).

1640528004819 is a wasteful number, since it uses less digits than its factorization.

1640528004819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3283731.

The product of its (nonzero) digits is 552960, while the sum is 48.

The spelling of 1640528004819 in words is "one trillion, six hundred forty billion, five hundred twenty-eight million, four thousand, eight hundred nineteen".