40824316725600 has 288 divisors, whose sum is σ = 134228208844800. Its totient is φ = 10776672829440.

The previous prime is 40824316725583. The next prime is 40824316725601. The reversal of 40824316725600 is 652761342804.

It is a super-2 number, since 2×40824316725600² (a number of 28 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40824316725600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40824316725601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136706049 + ... + 137004351.

It is an arithmetic number, because the mean of its divisors is an integer number (466070169600).

Almost surely, 2^{40824316725600} is an apocalyptic number.

40824316725600 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 40824316725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67114104422400).

40824316725600 is an abundant number, since it is smaller than the sum of its proper divisors (93403892119200).

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

40824316725600 is a wasteful number, since it uses less digits than its factorization.

40824316725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298902 (or 298889 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 40824316725600 in words is "forty trillion, eight hundred twenty-four billion, three hundred sixteen million, seven hundred twenty-five thousand, six hundred".