40329726528 has 224 divisors, whose sum is σ = 132008050944. Its totient is φ = 10581516288.

The previous prime is 40329726499. The next prime is 40329726581. The reversal of 40329726528 is 82562792304.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3436126 + ... + 3447842.

It is an arithmetic number, because the mean of its divisors is an integer number (589321656).

Almost surely, 2^40329726528 is an apocalyptic number.

40329726528 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 40329726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66004025472).

40329726528 is an abundant number, since it is smaller than the sum of its proper divisors (91678324416).

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

40329726528 is a wasteful number, since it uses less digits than its factorization.

40329726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11949 (or 11939 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 40329726528 in words is "forty billion, three hundred twenty-nine million, seven hundred twenty-six thousand, five hundred twenty-eight".