4000674128484 has 384 divisors, whose sum is σ = 11055356928000. Its totient is φ = 1113208012800.

The previous prime is 4000674128449. The next prime is 4000674128537. The reversal of 4000674128484 is 4848214760004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3469794852 + ... + 3469796004.

It is an arithmetic number, because the mean of its divisors is an integer number (28789992000).

Almost surely, 2^{4000674128484} is an apocalyptic number.

4000674128484 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 4000674128484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527678464000).

4000674128484 is an abundant number, since it is smaller than the sum of its proper divisors (7054682799516).

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

4000674128484 is a wasteful number, since it uses less digits than its factorization.

4000674128484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1557 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 48.

Adding to 4000674128484 its reverse (4848214760004), we get a palindrome (8848888888488).

The spelling of 4000674128484 in words is "four trillion, six hundred seventy-four million, one hundred twenty-eight thousand, four hundred eighty-four".