4001340013400 has 24 divisors (see below), whose sum is σ = 9303115531620. Its totient is φ = 1600536005280.

The previous prime is 4001340013357. The next prime is 4001340013403. The reversal of 4001340013400 is 43100431004.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4001340013403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10003349834 + ... + 10003350233.

Almost surely, 2^{4001340013400} is an apocalyptic number.

4001340013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4001340013400 is an abundant number, since it is smaller than the sum of its proper divisors (5301775518220).

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

4001340013400 is a wasteful number, since it uses less digits than its factorization.

4001340013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20006700083 (or 20006700074 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 4001340013400 its reverse (43100431004), we get a palindrome (4044440444404).

The spelling of 4001340013400 in words is "four trillion, one billion, three hundred forty million, thirteen thousand, four hundred".