4132918007064 has 384 divisors, whose sum is σ = 14051995776000. Its totient is φ = 1066064716800.

The previous prime is 4132918007021. The next prime is 4132918007077. The reversal of 4132918007064 is 4607008192314.

4132918007064 is a `hidden beast` number, since 413 + 2 + 91 + 80 + 0 + 70 + 6 + 4 = 666.

It is a super-2 number, since 2×4132918007064² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 841903842 + ... + 841908750.

It is an arithmetic number, because the mean of its divisors is an integer number (36593739000).

Almost surely, 2^{4132918007064} is an apocalyptic number.

4132918007064 is a gapful number since it is divisible by the number (44) 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 4132918007064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7025997888000).

4132918007064 is an abundant number, since it is smaller than the sum of its proper divisors (9919077768936).

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

4132918007064 is a wasteful number, since it uses less digits than its factorization.

4132918007064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5952 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 4132918007064 in words is "four trillion, one hundred thirty-two billion, nine hundred eighteen million, seven thousand, sixty-four".