6051457440 has 432 divisors, whose sum is σ = 24923179008. Its totient is φ = 1309602816.

The previous prime is 6051457409. The next prime is 6051457441. The reversal of 6051457440 is 447541506.

6051457440 is a `hidden beast` number, since 605 + 1 + 4 + 5 + 7 + 4 + 40 = 666.

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 = 6051457395 and 6051457404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6051457441) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3638049 + ... + 3639711.

It is an arithmetic number, because the mean of its divisors is an integer number (57692544).

Almost surely, 2^6051457440 is an apocalyptic number.

6051457440 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 6051457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12461589504).

6051457440 is an abundant number, since it is smaller than the sum of its proper divisors (18871721568).

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

6051457440 is a wasteful number, since it uses less digits than its factorization.

6051457440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 6051457440 is about 77791.1141455115. The cubic root of 6051457440 is about 1822.3005003278.

Adding to 6051457440 its reverse (447541506), we get a palindrome (6498998946).

The spelling of 6051457440 in words is "six billion, fifty-one million, four hundred fifty-seven thousand, four hundred forty".