40000502466540 has 1152 divisors, whose sum is σ = 159192843264000. Its totient is φ = 7887559680000.

The previous prime is 40000502466527. The next prime is 40000502466599. The reversal of 40000502466540 is 4566420500004.

40000502466540 is a `hidden beast` number, since 4 + 0 + 0 + 0 + 0 + 50 + 2 + 4 + 66 + 540 = 666.

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 = 40000502466495 and 40000502466504.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7271493790 + ... + 7271499290.

It is an arithmetic number, because the mean of its divisors is an integer number (138188232000).

Almost surely, 2^{40000502466540} 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 40000502466540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79596421632000).

40000502466540 is an abundant number, since it is smaller than the sum of its proper divisors (119192340797460).

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

40000502466540 is a wasteful number, since it uses less digits than its factorization.

40000502466540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5871 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 40000502466540 its reverse (4566420500004), we get a palindrome (44566922966544).

The spelling of 40000502466540 in words is "forty trillion, five hundred two million, four hundred sixty-six thousand, five hundred forty".