1835723738240 has 384 divisors, whose sum is σ = 5295652830000. Its totient is φ = 606008868864.

The previous prime is 1835723738239. The next prime is 1835723738411. The reversal of 1835723738240 is 428373275381.

It can be written as a sum of positive squares in 8 ways, for example, as 838425910336 + 997297827904 = 915656^2 + 998648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353769566 + ... + 353774754.

Almost surely, 2^{1835723738240} is an apocalyptic number.

1835723738240 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 1835723738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2647826415000).

1835723738240 is an abundant number, since it is smaller than the sum of its proper divisors (3459929091760).

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

1835723738240 is a wasteful number, since it uses less digits than its factorization.

1835723738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5640 (or 5621 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 1835723738240 in words is "one trillion, eight hundred thirty-five billion, seven hundred twenty-three million, seven hundred thirty-eight thousand, two hundred forty".