4140133400 has 96 divisors (see below), whose sum is σ = 10817120160. Its totient is φ = 1462179840.

The previous prime is 4140133391. The next prime is 4140133441. The reversal of 4140133400 is 43310414.

It is a happy number.

4140133400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25184 + ... + 94416.

It is an arithmetic number, because the mean of its divisors is an integer number (112678335).

Almost surely, 2^4140133400 is an apocalyptic number.

4140133400 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 4140133400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5408560080).

4140133400 is an abundant number, since it is smaller than the sum of its proper divisors (6676986760).

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

4140133400 is a wasteful number, since it uses less digits than its factorization.

4140133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69285 (or 69276 counting only the distinct ones).

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

The square root of 4140133400 is about 64343.8683947429. The cubic root of 4140133400 is about 1605.7260199476.

Adding to 4140133400 its reverse (43310414), we get a palindrome (4183443814).

The spelling of 4140133400 in words is "four billion, one hundred forty million, one hundred thirty-three thousand, four hundred".