4131560400 has 480 divisors, whose sum is σ = 15344017920. Its totient is φ = 940800000.

The previous prime is 4131560339. The next prime is 4131560423. The reversal of 4131560400 is 40651314.

4131560400 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16460275 + ... + 16460525.

It is an arithmetic number, because the mean of its divisors is an integer number (31966704).

Almost surely, 2^4131560400 is an apocalyptic number.

4131560400 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 4131560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7672008960).

4131560400 is an abundant number, since it is smaller than the sum of its proper divisors (11212457520).

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

4131560400 is a wasteful number, since it uses less digits than its factorization.

4131560400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 4131560400 is about 64277.2152477066. The cubic root of 4131560400 is about 1604.6169251039.

The spelling of 4131560400 in words is "four billion, one hundred thirty-one million, five hundred sixty thousand, four hundred".