57942541440 has 768 divisors, whose sum is σ = 238379581440. Its totient is φ = 12690432000.

The previous prime is 57942541439. The next prime is 57942541499. The reversal of 57942541440 is 4414524975.

57942541440 is a `hidden beast` number, since 579 + 4 + 25 + 4 + 14 + 40 = 666.

It is a super-2 number, since 2×57942541440² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 188737767 + ... + 188738073.

It is an arithmetic number, because the mean of its divisors is an integer number (310390080).

Almost surely, 2^57942541440 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 57942541440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119189790720).

57942541440 is an abundant number, since it is smaller than the sum of its proper divisors (180437040000).

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

57942541440 is a wasteful number, since it uses less digits than its factorization.

57942541440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 57942541440 in words is "fifty-seven billion, nine hundred forty-two million, five hundred forty-one thousand, four hundred forty".