40434121728 has 880 divisors, whose sum is σ = 162450968064. Its totient is φ = 9674588160.

The previous prime is 40434121691. The next prime is 40434121729. The reversal of 40434121728 is 82712143404.

40434121728 is a `hidden beast` number, since 4 + 0 + 434 + 1 + 217 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40434121692 and 40434121701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434121729) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 83026701 + ... + 83027187.

Almost surely, 2^40434121728 is an apocalyptic number.

40434121728 is a gapful number since it is divisible by the number (48) 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 40434121728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81225484032).

40434121728 is an abundant number, since it is smaller than the sum of its proper divisors (122016846336).

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

40434121728 is a wasteful number, since it uses less digits than its factorization.

40434121728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 40434121728 in words is "forty billion, four hundred thirty-four million, one hundred twenty-one thousand, seven hundred twenty-eight".