4000138024200 has 288 divisors, whose sum is σ = 12660122512800. Its totient is φ = 1044786293760.

The previous prime is 4000138024151. The next prime is 4000138024261. The reversal of 4000138024200 is 24208310004.

It is a super-2 number, since 2×4000138024200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 482114452 + ... + 482122748.

It is an arithmetic number, because the mean of its divisors is an integer number (43958758725).

Almost surely, 2^{4000138024200} is an apocalyptic number.

4000138024200 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 4000138024200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6330061256400).

4000138024200 is an abundant number, since it is smaller than the sum of its proper divisors (8659984488600).

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

4000138024200 is a wasteful number, since it uses less digits than its factorization.

4000138024200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8629 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 4000138024200 in words is "four trillion, one hundred thirty-eight million, twenty-four thousand, two hundred".