1611325440 has 448 divisors, whose sum is σ = 6039429120. Its totient is φ = 406978560.

The previous prime is 1611325427. The next prime is 1611325453. The reversal of 1611325440 is 445231161.

It is a happy number.

1611325440 is a `hidden beast` number, since 1 + 6 + 113 + 2 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1611325427) and next prime (1611325453).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34283497 + ... + 34283543.

Almost surely, 2^1611325440 is an apocalyptic number.

1611325440 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 1611325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019714560).

1611325440 is an abundant number, since it is smaller than the sum of its proper divisors (4428103680).

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

1611325440 is an equidigital number, since it uses as much as digits as its factorization.

1611325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1611325440 is about 40141.3183640000. The cubic root of 1611325440 is about 1172.3602584250.

The spelling of 1611325440 in words is "one billion, six hundred eleven million, three hundred twenty-five thousand, four hundred forty".