40444153728 has 128 divisors (see below), whose sum is σ = 118847658240. Its totient is φ = 12083097600.

The previous prime is 40444153709. The next prime is 40444153759. The reversal of 40444153728 is 82735144404.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 40444153728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232476 + ... + 367332.

It is an arithmetic number, because the mean of its divisors is an integer number (928497330).

Almost surely, 2^40444153728 is an apocalyptic number.

40444153728 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 40444153728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59423829120).

40444153728 is an abundant number, since it is smaller than the sum of its proper divisors (78403504512).

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

40444153728 is a wasteful number, since it uses less digits than its factorization.

40444153728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134956 (or 134944 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The spelling of 40444153728 in words is "forty billion, four hundred forty-four million, one hundred fifty-three thousand, seven hundred twenty-eight".