40463504720640 has 864 divisors, whose sum is σ = 142771000147776. Its totient is φ = 10579445022720.

The previous prime is 40463504720633. The next prime is 40463504720701. The reversal of 40463504720640 is 4602740536404.

40463504720640 is a `hidden beast` number, since 4 + 0 + 4 + 63 + 504 + 7 + 20 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 68235252184 + ... + 68235252776.

It is an arithmetic number, because the mean of its divisors is an integer number (165244213134).

Almost surely, 2^{40463504720640} is an apocalyptic number.

40463504720640 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 40463504720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71385500073888).

40463504720640 is an abundant number, since it is smaller than the sum of its proper divisors (102307495427136).

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

40463504720640 is a wasteful number, since it uses less digits than its factorization.

40463504720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1205 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 40463504720640 in words is "forty trillion, four hundred sixty-three billion, five hundred four million, seven hundred twenty thousand, six hundred forty".