40634016720440 has 768 divisors, whose sum is σ = 115070118912000. Its totient is φ = 12776789975040.

The previous prime is 40634016720391. The next prime is 40634016720443. The reversal of 40634016720440 is 4402761043604.

It is a super-2 number, since 2×40634016720440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40634016720443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 48431485541 + ... + 48431486379.

It is an arithmetic number, because the mean of its divisors is an integer number (149830884000).

Almost surely, 2^{40634016720440} is an apocalyptic number.

40634016720440 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 40634016720440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57535059456000).

40634016720440 is an abundant number, since it is smaller than the sum of its proper divisors (74436102191560).

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

40634016720440 is a wasteful number, since it uses less digits than its factorization.

40634016720440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1543 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 41.

The spelling of 40634016720440 in words is "forty trillion, six hundred thirty-four billion, sixteen million, seven hundred twenty thousand, four hundred forty".