1828914474240 has 720 divisors, whose sum is σ = 7638346501632. Its totient is φ = 409135546368.

The previous prime is 1828914474229. The next prime is 1828914474271. The reversal of 1828914474240 is 424744198281.

1828914474240 is a `hidden beast` number, since 1 + 82 + 8 + 91 + 4 + 474 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34083912 + ... + 34137528.

Almost surely, 2^{1828914474240} is an apocalyptic number.

1828914474240 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 1828914474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819173250816).

1828914474240 is an abundant number, since it is smaller than the sum of its proper divisors (5809432027392).

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

1828914474240 is an equidigital number, since it uses as much as digits as its factorization.

1828914474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53704 (or 53681 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 1828914474240 in words is "one trillion, eight hundred twenty-eight billion, nine hundred fourteen million, four hundred seventy-four thousand, two hundred forty".