6194125440 has 432 divisors, whose sum is σ = 23099868090. Its totient is φ = 1529118720.

The previous prime is 6194125439. The next prime is 6194125453. The reversal of 6194125440 is 445214916.

6194125440 is a `hidden beast` number, since 6 + 1 + 94 + 125 + 440 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1065024 + 6193060416 = 1032^2 + 78696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6194125395 and 6194125404.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 101543010 + ... + 101543070.

Almost surely, 2^6194125440 is an apocalyptic number.

6194125440 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 6194125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11549934045).

6194125440 is an abundant number, since it is smaller than the sum of its proper divisors (16905742650).

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

6194125440 is a wasteful number, since it uses less digits than its factorization.

6194125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6194125440 is about 78702.7664062706. The cubic root of 6194125440 is about 1836.5101463048.

The spelling of 6194125440 in words is "six billion, one hundred ninety-four million, one hundred twenty-five thousand, four hundred forty".