4140003013400 has 192 divisors, whose sum is σ = 10135530972000. Its totient is φ = 1570348236800.

The previous prime is 4140003013397. The next prime is 4140003013403. The reversal of 4140003013400 is 43103000414.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4140003013397) and next prime (4140003013403).

It is a super-2 number, since 2×4140003013400² (a number of 26 digits) contains 22 as substring.

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 (4140003013403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 416452430 + ... + 416462370.

Almost surely, 2^{4140003013400} is an apocalyptic number.

4140003013400 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 4140003013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5067765486000).

4140003013400 is an abundant number, since it is smaller than the sum of its proper divisors (5995527958600).

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

4140003013400 is a wasteful number, since it uses less digits than its factorization.

4140003013400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11262 (or 11253 counting only the distinct ones).

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

Adding to 4140003013400 its reverse (43103000414), we get a palindrome (4183106013814).

The spelling of 4140003013400 in words is "four trillion, one hundred forty billion, three million, thirteen thousand, four hundred".