6161444400 has 240 divisors, whose sum is σ = 20631670560. Its totient is φ = 1569792000.

The previous prime is 6161444389. The next prime is 6161444411. The reversal of 6161444400 is 44441616.

It is an interprime number because it is at equal distance from previous prime (6161444389) and next prime (6161444411).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3513924 + ... + 3515676.

It is an arithmetic number, because the mean of its divisors is an integer number (85965294).

Almost surely, 2^6161444400 is an apocalyptic number.

6161444400 is a gapful number since it is divisible by the number (60) 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 6161444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315835280).

6161444400 is an abundant number, since it is smaller than the sum of its proper divisors (14470226160).

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

6161444400 is a wasteful number, since it uses less digits than its factorization.

6161444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 6161444400 is about 78494.8686220953. The cubic root of 6161444400 is about 1833.2745575280.

The spelling of 6161444400 in words is "six billion, one hundred sixty-one million, four hundred forty-four thousand, four hundred".