40563464040 has 1152 divisors, whose sum is σ = 171161424000. Its totient is φ = 8485171200.

The previous prime is 40563463949. The next prime is 40563464083. The reversal of 40563464040 is 4046436504.

40563464040 is a `hidden beast` number, since 4 + 0 + 5 + 6 + 3 + 4 + 640 + 4 + 0 = 666.

40563464040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40563464040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40563463986 and 40563464004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1308498825 + ... + 1308498855.

It is an arithmetic number, because the mean of its divisors is an integer number (148577625).

Almost surely, 2^40563464040 is an apocalyptic number.

40563464040 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 40563464040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85580712000).

40563464040 is an abundant number, since it is smaller than the sum of its proper divisors (130597959960).

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

40563464040 is a wasteful number, since it uses less digits than its factorization.

40563464040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 40563464040 in words is "forty billion, five hundred sixty-three million, four hundred sixty-four thousand, forty".