4001300031400 has 192 divisors, whose sum is σ = 10911448944000. Its totient is φ = 1336246502400.

The previous prime is 4001300031373. The next prime is 4001300031431. The reversal of 4001300031400 is 41300031004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8781190 + ... + 9225610.

It is an arithmetic number, because the mean of its divisors is an integer number (56830463250).

Almost surely, 2^{4001300031400} is an apocalyptic number.

4001300031400 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 4001300031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455724472000).

4001300031400 is an abundant number, since it is smaller than the sum of its proper divisors (6910148912600).

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

4001300031400 is a wasteful number, since it uses less digits than its factorization.

4001300031400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444612 (or 444603 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 4001300031400 its reverse (41300031004), we get a palindrome (4042600062404).

The spelling of 4001300031400 in words is "four trillion, one billion, three hundred million, thirty-one thousand, four hundred".