4169377981440 has 2376 divisors, whose sum is σ = 18601456231800. Its totient is φ = 890922074112.

The previous prime is 4169377981387. The next prime is 4169377981453. The reversal of 4169377981440 is 441897739614.

4169377981440 is a `hidden beast` number, since 4 + 16 + 9 + 37 + 79 + 81 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 258096513024 + 3911281468416 = 508032^2 + 1977696^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 27982402486 + ... + 27982402634.

Almost surely, 2^{4169377981440} is an apocalyptic number.

4169377981440 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 4169377981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9300728115900).

4169377981440 is an abundant number, since it is smaller than the sum of its proper divisors (14432078250360).

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

4169377981440 is an equidigital number, since it uses as much as digits as its factorization.

4169377981440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 4169377981440 in words is "four trillion, one hundred sixty-nine billion, three hundred seventy-seven million, nine hundred eighty-one thousand, four hundred forty".