40744544960 has 224 divisors, whose sum is σ = 116348743680. Its totient is φ = 13295923200.

The previous prime is 40744544957. The next prime is 40744544983. The reversal of 40744544960 is 6944544704.

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

It is a super-2 number, since 2×40744544960² (a number of 22 digits) contains 22 as substring.

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, 4231031 + ... + 4240649.

Almost surely, 2^40744544960 is an apocalyptic number.

40744544960 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 40744544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58174371840).

40744544960 is an abundant number, since it is smaller than the sum of its proper divisors (75604198720).

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

40744544960 is a wasteful number, since it uses less digits than its factorization.

40744544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9735 (or 9725 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 47.

The spelling of 40744544960 in words is "forty billion, seven hundred forty-four million, five hundred forty-four thousand, nine hundred sixty".