1830618071040 has 1088 divisors, whose sum is σ = 6803176292352. Its totient is φ = 416179814400.

The previous prime is 1830618070993. The next prime is 1830618071129. The reversal of 1830618071040 is 401708160381.

It is a self number, because there is not a number n which added to its sum of digits gives 1830618071040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14414315457 + ... + 14414315583.

Almost surely, 2^{1830618071040} is an apocalyptic number.

1830618071040 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 1830618071040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401588146176).

1830618071040 is an abundant number, since it is smaller than the sum of its proper divisors (4972558221312).

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

1830618071040 is a wasteful number, since it uses less digits than its factorization.

1830618071040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 1830618071040 in words is "one trillion, eight hundred thirty billion, six hundred eighteen million, seventy-one thousand, forty".