1815013404120 has 384 divisors, whose sum is σ = 6712593508800. Its totient is φ = 390108708864.

The previous prime is 1815013404119. The next prime is 1815013404199. The reversal of 1815013404120 is 214043105181.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121243996 + ... + 121258964.

Almost surely, 2^{1815013404120} is an apocalyptic number.

1815013404120 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 1815013404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356296754400).

1815013404120 is an abundant number, since it is smaller than the sum of its proper divisors (4897580104680).

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

1815013404120 is a wasteful number, since it uses less digits than its factorization.

1815013404120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16227 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The spelling of 1815013404120 in words is "one trillion, eight hundred fifteen billion, thirteen million, four hundred four thousand, one hundred twenty".