40504469040 has 640 divisors, whose sum is σ = 168774912000. Its totient is φ = 8722059264.

The previous prime is 40504469017. The next prime is 40504469063. The reversal of 40504469040 is 4096440504.

40504469040 is a `hidden beast` number, since 40 + 50 + 446 + 90 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (40504469017) and next prime (40504469063).

It is a super-2 number, since 2×40504469040² (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 = 40504468986 and 40504469004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 79576306 + ... + 79576814.

It is an arithmetic number, because the mean of its divisors is an integer number (263710800).

Almost surely, 2^40504469040 is an apocalyptic number.

40504469040 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 40504469040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84387456000).

40504469040 is an abundant number, since it is smaller than the sum of its proper divisors (128270442960).

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

40504469040 is a wasteful number, since it uses less digits than its factorization.

40504469040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 40504469040 in words is "forty billion, five hundred four million, four hundred sixty-nine thousand, forty".