4001388120408 has 256 divisors, whose sum is σ = 11682385920000. Its totient is φ = 1118556324864.

The previous prime is 4001388120349. The next prime is 4001388120437. The reversal of 4001388120408 is 8040218831004.

It is a happy number.

It is a Cunningham number, because it is equal to 2000347²-1.

It is a super-2 number, since 2×4001388120408² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 876150141 + ... + 876154707.

It is an arithmetic number, because the mean of its divisors is an integer number (45634320000).

Almost surely, 2^{4001388120408} 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 4001388120408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841192960000).

4001388120408 is an abundant number, since it is smaller than the sum of its proper divisors (7680997799592).

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

4001388120408 is a wasteful number, since it uses less digits than its factorization.

4001388120408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 4001388120408 in words is "four trillion, one billion, three hundred eighty-eight million, one hundred twenty thousand, four hundred eight".