4476129456640 has 160 divisors (see below), whose sum is σ = 10942759618560. Its totient is φ = 1755486879744.

The previous prime is 4476129456613. The next prime is 4476129456641. The reversal of 4476129456640 is 466549216744.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (4476129456641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57809632 + ... + 57887008.

It is an arithmetic number, because the mean of its divisors is an integer number (68392247616).

Almost surely, 2^{4476129456640} is an apocalyptic number.

4476129456640 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 4476129456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471379809280).

4476129456640 is an abundant number, since it is smaller than the sum of its proper divisors (6466630161920).

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

4476129456640 is an equidigital number, since it uses as much as digits as its factorization.

4476129456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77842 (or 77826 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 58.

The spelling of 4476129456640 in words is "four trillion, four hundred seventy-six billion, one hundred twenty-nine million, four hundred fifty-six thousand, six hundred forty".