5941142064 has 480 divisors, whose sum is σ = 20746672128. Its totient is φ = 1562112000.

The previous prime is 5941142027. The next prime is 5941142069. The reversal of 5941142064 is 4602411495.

5941142064 is a `hidden beast` number, since 594 + 1 + 1 + 4 + 2 + 0 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5941142069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26172319 + ... + 26172545.

Almost surely, 2^5941142064 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 5941142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10373336064).

5941142064 is an abundant number, since it is smaller than the sum of its proper divisors (14805530064).

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

5941142064 is a wasteful number, since it uses less digits than its factorization.

5941142064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

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

The square root of 5941142064 is about 77078.8042460442. The cubic root of 5941142064 is about 1811.1592813492.

It can be divided in two parts, 59411 and 42064, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 5941142064 in words is "five billion, nine hundred forty-one million, one hundred forty-two thousand, sixty-four".