4113401400 has 192 divisors, whose sum is σ = 14316271200. Its totient is φ = 1085460480.

The previous prime is 4113401393. The next prime is 4113401431. The reversal of 4113401400 is 41043114.

4113401400 is digitally balanced in base 2 and base 4, because in such bases 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 519874 + ... + 527726.

Almost surely, 2^4113401400 is an apocalyptic number.

4113401400 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 4113401400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7158135600).

4113401400 is an abundant number, since it is smaller than the sum of its proper divisors (10202869800).

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

4113401400 is a wasteful number, since it uses less digits than its factorization.

4113401400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7975 (or 7960 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4113401400 is about 64135.8043529509. The cubic root of 4113401400 is about 1602.2626061668.

Adding to 4113401400 its reverse (41043114), we get a palindrome (4154444514).

The spelling of 4113401400 in words is "four billion, one hundred thirteen million, four hundred one thousand, four hundred".