4004114040000 has 840 divisors, whose sum is σ = 15608169474480. Its totient is φ = 1002802176000.

The previous prime is 4004114039969. The next prime is 4004114040013. The reversal of 4004114040000 is 404114004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8574119767 + ... + 8574120233.

Almost surely, 2^{4004114040000} is an apocalyptic number.

4004114040000 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 4004114040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7804084737240).

4004114040000 is an abundant number, since it is smaller than the sum of its proper divisors (11604055434480).

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

4004114040000 is an frugal number, since it uses more digits than its factorization.

4004114040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 4004114040000 its reverse (404114004), we get a palindrome (4004518154004).

The spelling of 4004114040000 in words is "four trillion, four billion, one hundred fourteen million, forty thousand".