1829240340480 has 1920 divisors, whose sum is σ = 7973189947800. Its totient is φ = 399532621824.

The previous prime is 1829240340479. The next prime is 1829240340493. The reversal of 1829240340480 is 840430429281.

1829240340480 is a `hidden beast` number, since 1 + 8 + 2 + 92 + 40 + 3 + 40 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1443688759296 + 385551581184 = 1201536^2 + 620928^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×1829240340480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 18858147792 + ... + 18858147888.

Almost surely, 2^{1829240340480} is an apocalyptic number.

1829240340480 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 1829240340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986594973900).

1829240340480 is an abundant number, since it is smaller than the sum of its proper divisors (6143949607320).

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

1829240340480 is an frugal number, since it uses more digits than its factorization.

1829240340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1829240340480 in words is "one trillion, eight hundred twenty-nine billion, two hundred forty million, three hundred forty thousand, four hundred eighty".