4163677674240 has 864 divisors, whose sum is σ = 16092644198400. Its totient is φ = 913799577600.

The previous prime is 4163677674239. The next prime is 4163677674251. The reversal of 4163677674240 is 424767763614.

It is a super-3 number, since 3×4163677674240³ (a number of 39 digits) contains 333 as substring.

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, 764115036 + ... + 764120484.

It is an arithmetic number, because the mean of its divisors is an integer number (18625745600).

Almost surely, 2^{4163677674240} is an apocalyptic number.

4163677674240 is a gapful number since it is divisible by the number (40) 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 4163677674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046322099200).

4163677674240 is an abundant number, since it is smaller than the sum of its proper divisors (11928966524160).

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

4163677674240 is a wasteful number, since it uses less digits than its factorization.

4163677674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5649 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 28449792, while the sum is 57.

The spelling of 4163677674240 in words is "four trillion, one hundred sixty-three billion, six hundred seventy-seven million, six hundred seventy-four thousand, two hundred forty".