4130150400 has 216 divisors, whose sum is σ = 14793154740. Its totient is φ = 1101250560.

The previous prime is 4130150389. The next prime is 4130150407. The reversal of 4130150400 is 40510314.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4130150407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 456319 + ... + 465281.

Almost surely, 2^4130150400 is an apocalyptic number.

4130150400 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 4130150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7396577370).

4130150400 is an abundant number, since it is smaller than the sum of its proper divisors (10663004340).

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

4130150400 is a wasteful number, since it uses less digits than its factorization.

4130150400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9001 (or 8973 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4130150400 is about 64266.2461950284. The cubic root of 4130150400 is about 1604.4343655644.

Adding to 4130150400 its reverse (40510314), we get a palindrome (4170660714).

The spelling of 4130150400 in words is "four billion, one hundred thirty million, one hundred fifty thousand, four hundred".