40409023509504 has 1408 divisors, whose sum is σ = 142679974348800. Its totient is φ = 11177400729600.

The previous prime is 40409023509461. The next prime is 40409023509539. The reversal of 40409023509504 is 40590532090404.

40409023509504 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 90 + 2 + 3 + 50 + 9 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 40409023509504.

It is a congruent number.

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, 17188013929 + ... + 17188016279.

Almost surely, 2^{40409023509504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40409023509504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71339987174400).

40409023509504 is an abundant number, since it is smaller than the sum of its proper divisors (102270950839296).

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

40409023509504 is a wasteful number, since it uses less digits than its factorization.

40409023509504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

Adding to 40409023509504 its reverse (40590532090404), we get a palindrome (80999555599908).

The spelling of 40409023509504 in words is "forty trillion, four hundred nine billion, twenty-three million, five hundred nine thousand, five hundred four".