40503694464 has 128 divisors (see below), whose sum is σ = 121568904000. Its totient is φ = 13272330240.

The previous prime is 40503694463. The next prime is 40503694481. The reversal of 40503694464 is 46449630504.

40503694464 is a `hidden beast` number, since 40 + 503 + 6 + 9 + 44 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (40503694463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104584 + ... + 303224.

Almost surely, 2^40503694464 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 40503694464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60784452000).

40503694464 is an abundant number, since it is smaller than the sum of its proper divisors (81065209536).

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

40503694464 is a wasteful number, since it uses less digits than its factorization.

40503694464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198723 (or 198705 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

It can be divided in two parts, 405036 and 94464, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 40503694464 in words is "forty billion, five hundred three million, six hundred ninety-four thousand, four hundred sixty-four".