4004642628480 has 1024 divisors, whose sum is σ = 15110497382400. Its totient is φ = 892617621504.

The previous prime is 4004642628449. The next prime is 4004642628529. The reversal of 4004642628480 is 848262464004.

It is a super-2 number, since 2×4004642628480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 6189555517 + ... + 6189556163.

It is an arithmetic number, because the mean of its divisors is an integer number (14756345100).

Almost surely, 2^{4004642628480} is an apocalyptic number.

4004642628480 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 4004642628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7555248691200).

4004642628480 is an abundant number, since it is smaller than the sum of its proper divisors (11105854753920).

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

4004642628480 is a wasteful number, since it uses less digits than its factorization.

4004642628480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 48.

The spelling of 4004642628480 in words is "four trillion, four billion, six hundred forty-two million, six hundred twenty-eight thousand, four hundred eighty".