4130400000 has 216 divisors, whose sum is σ = 13748213808. Its totient is φ = 1100800000.

The previous prime is 4130399981. The next prime is 4130400031. The reversal of 4130400000 is 40314.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2399140 + ... + 2400860.

It is an arithmetic number, because the mean of its divisors is an integer number (63649138).

Almost surely, 2^4130400000 is an apocalyptic number.

4130400000 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 4130400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874106904).

4130400000 is an abundant number, since it is smaller than the sum of its proper divisors (9617813808).

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

4130400000 is an frugal number, since it uses more digits than its factorization.

4130400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4130400000 is about 64268.1880871089. The cubic root of 4130400000 is about 1604.4666855133.

Adding to 4130400000 its reverse (40314), we get a palindrome (4130440314).

The spelling of 4130400000 in words is "four billion, one hundred thirty million, four hundred thousand".