40634876448000 has 576 divisors, whose sum is σ = 154018505571840. Its totient is φ = 10543094784000.

The previous prime is 40634876447989. The next prime is 40634876448041. The reversal of 40634876448000 is 84467843604.

40634876448000 is a `hidden beast` number, since 4 + 0 + 63 + 48 + 7 + 64 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31332445 + ... + 32603555.

It is an arithmetic number, because the mean of its divisors is an integer number (267393238840).

Almost surely, 2^{40634876448000} is an apocalyptic number.

40634876448000 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 40634876448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77009252785920).

40634876448000 is an abundant number, since it is smaller than the sum of its proper divisors (113383629123840).

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

40634876448000 is a wasteful number, since it uses less digits than its factorization.

40634876448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271188 (or 1271158 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 40634876448000 in words is "forty trillion, six hundred thirty-four billion, eight hundred seventy-six million, four hundred forty-eight thousand".