4002705072504 has 144 divisors (see below), whose sum is σ = 11063646714120. Its totient is φ = 1307323359360.

The previous prime is 4002705072497. The next prime is 4002705072529. The reversal of 4002705072504 is 4052705072004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76918014 + ... + 76970034.

Almost surely, 2^{4002705072504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002705072504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5531823357060).

4002705072504 is an abundant number, since it is smaller than the sum of its proper divisors (7060941641616).

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

4002705072504 is a wasteful number, since it uses less digits than its factorization.

4002705072504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52458 (or 52392 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 4002705072504 in words is "four trillion, two billion, seven hundred five million, seventy-two thousand, five hundred four".