1830069226440 has 576 divisors, whose sum is σ = 7726985098560. Its totient is φ = 386123189760.

The previous prime is 1830069226409. The next prime is 1830069226481. The reversal of 1830069226440 is 446229600381.

1830069226440 is a `hidden beast` number, since 183 + 0 + 0 + 6 + 9 + 2 + 26 + 440 = 666.

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 143 ways as a sum of consecutive naturals, for example, 6043855 + ... + 6339425.

It is an arithmetic number, because the mean of its divisors is an integer number (13414904685).

Almost surely, 2^{1830069226440} is an apocalyptic number.

1830069226440 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 1830069226440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3863492549280).

1830069226440 is an abundant number, since it is smaller than the sum of its proper divisors (5896915872120).

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

1830069226440 is a wasteful number, since it uses less digits than its factorization.

1830069226440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295624 (or 295601 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 1830069226440 in words is "one trillion, eight hundred thirty billion, sixty-nine million, two hundred twenty-six thousand, four hundred forty".