4002040244000 has 192 divisors, whose sum is σ = 10558077933312. Its totient is φ = 1485428224000.

The previous prime is 4002040243979. The next prime is 4002040244029. The reversal of 4002040244000 is 4420402004.

It is a super-2 number, since 2×4002040244000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4413539 + ... + 5242461.

It is an arithmetic number, because the mean of its divisors is an integer number (54989989236).

Almost surely, 2^{4002040244000} is an apocalyptic number.

4002040244000 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 4002040244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279038966656).

4002040244000 is an abundant number, since it is smaller than the sum of its proper divisors (6556037689312).

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

4002040244000 is a wasteful number, since it uses less digits than its factorization.

4002040244000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829036 (or 829018 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 4002040244000 its reverse (4420402004), we get a palindrome (4006460646004).

The spelling of 4002040244000 in words is "four trillion, two billion, forty million, two hundred forty-four thousand".