57451069440 has 360 divisors, whose sum is σ = 206101808640. Its totient is φ = 14786494464.

The previous prime is 57451069439. The next prime is 57451069447. The reversal of 57451069440 is 4496015475.

57451069440 is a `hidden beast` number, since 5 + 7 + 4 + 510 + 6 + 94 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57451069447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21379777 + ... + 21382463.

It is an arithmetic number, because the mean of its divisors is an integer number (572505024).

Almost surely, 2^57451069440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57451069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103050904320).

57451069440 is an abundant number, since it is smaller than the sum of its proper divisors (148650739200).

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

57451069440 is a wasteful number, since it uses less digits than its factorization.

57451069440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 57451069440 in words is "fifty-seven billion, four hundred fifty-one million, sixty-nine thousand, four hundred forty".