43061630400 has 672 divisors, whose sum is σ = 172497292800. Its totient is φ = 10401177600.

The previous prime is 43061630399. The next prime is 43061630401. The reversal of 43061630400 is 403616034.

43061630400 is a `hidden beast` number, since 4 + 3 + 0 + 616 + 3 + 0 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (43061630399) and next prime (43061630401).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43061630401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18877260 + ... + 18879540.

It is an arithmetic number, because the mean of its divisors is an integer number (256692400).

Almost surely, 2^43061630400 is an apocalyptic number.

43061630400 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 43061630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86248646400).

43061630400 is an abundant number, since it is smaller than the sum of its proper divisors (129435662400).

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

43061630400 is a wasteful number, since it uses less digits than its factorization.

43061630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The spelling of 43061630400 in words is "forty-three billion, sixty-one million, six hundred thirty thousand, four hundred".