4140301400 has 144 divisors (see below), whose sum is σ = 10340428200. Its totient is φ = 1537436160.

The previous prime is 4140301387. The next prime is 4140301409. The reversal of 4140301400 is 41030414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4140301409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13227644 + ... + 13227956.

Almost surely, 2^4140301400 is an apocalyptic number.

4140301400 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 4140301400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170214100).

4140301400 is an abundant number, since it is smaller than the sum of its proper divisors (6200126800).

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

4140301400 is a wasteful number, since it uses less digits than its factorization.

4140301400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4140301400 is about 64345.1738671985. The cubic root of 4140301400 is about 1605.7477389195.

Adding to 4140301400 its reverse (41030414), we get a palindrome (4181331814).

The spelling of 4140301400 in words is "four billion, one hundred forty million, three hundred one thousand, four hundred".