1920309077640 has 128 divisors (see below), whose sum is σ = 5815176480000. Its totient is φ = 507282766848.

The previous prime is 1920309077633. The next prime is 1920309077641. The reversal of 1920309077640 is 467709030291.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1920309077640.

It is not an unprimeable number, because it can be changed into a prime (1920309077641) 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, 5292942 + ... + 5644098.

It is an arithmetic number, because the mean of its divisors is an integer number (45431066250).

Almost surely, 2^{1920309077640} is an apocalyptic number.

1920309077640 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 1920309077640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907588240000).

1920309077640 is an abundant number, since it is smaller than the sum of its proper divisors (3894867402360).

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

1920309077640 is a wasteful number, since it uses less digits than its factorization.

1920309077640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351599 (or 351595 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 1920309077640 in words is "one trillion, nine hundred twenty billion, three hundred nine million, seventy-seven thousand, six hundred forty".