40364663040 has 432 divisors, whose sum is σ = 155126845440. Its totient is φ = 9934479360.

The previous prime is 40364663039. The next prime is 40364663047. The reversal of 40364663040 is 4036646304.

40364663040 is a `hidden beast` number, since 4 + 0 + 3 + 646 + 6 + 3 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 40364662986 and 40364663004.

It is not an unprimeable number, because it can be changed into a prime (40364663047) 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, 5837185 + ... + 5844095.

It is an arithmetic number, because the mean of its divisors is an integer number (359089920).

Almost surely, 2^40364663040 is an apocalyptic number.

40364663040 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 40364663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77563422720).

40364663040 is an abundant number, since it is smaller than the sum of its proper divisors (114762182400).

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

40364663040 is a wasteful number, since it uses less digits than its factorization.

40364663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967 (or 6934 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 40364663040 in words is "forty billion, three hundred sixty-four million, six hundred sixty-three thousand, forty".