43146405120 has 864 divisors, whose sum is σ = 178508897280. Its totient is φ = 8794275840.

The previous prime is 43146405061. The next prime is 43146405131. The reversal of 43146405120 is 2150464134.

It is a super-2 number, since 2×43146405120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 75828196 + ... + 75828764.

It is an arithmetic number, because the mean of its divisors is an integer number (206607520).

Almost surely, 2^43146405120 is an apocalyptic number.

43146405120 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 43146405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89254448640).

43146405120 is an abundant number, since it is smaller than the sum of its proper divisors (135362492160).

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

43146405120 is a wasteful number, since it uses less digits than its factorization.

43146405120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 43146405120 its reverse (2150464134), we get a palindrome (45296869254).

The spelling of 43146405120 in words is "forty-three billion, one hundred forty-six million, four hundred five thousand, one hundred twenty".