59942413440 has 1728 divisors, whose sum is σ = 283700060280. Its totient is φ = 11519262720.

The previous prime is 59942413411. The next prime is 59942413451. The reversal of 59942413440 is 4431424995.

59942413440 is a `hidden beast` number, since 5 + 99 + 424 + 134 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 45594206784 + 14348206656 = 213528^2 + 119784^2 .

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 215 ways as a sum of consecutive naturals, for example, 1933626225 + ... + 1933626255.

Almost surely, 2^59942413440 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 59942413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141850030140).

59942413440 is an abundant number, since it is smaller than the sum of its proper divisors (223757646840).

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

59942413440 is a wasteful number, since it uses less digits than its factorization.

59942413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 59942413440 in words is "fifty-nine billion, nine hundred forty-two million, four hundred thirteen thousand, four hundred forty".