40632658452 has 96 divisors (see below), whose sum is σ = 109989196800. Its totient is φ = 12947669856.

The previous prime is 40632658421. The next prime is 40632658459. The reversal of 40632658452 is 25485623604.

40632658452 is a `hidden beast` number, since 4 + 0 + 63 + 2 + 6 + 584 + 5 + 2 = 666.

It is a super-3 number, since 3×40632658452³ (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40632658398 and 40632658407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40632658459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5408883 + ... + 5416389.

It is an arithmetic number, because the mean of its divisors is an integer number (1145720800).

Almost surely, 2^40632658452 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 40632658452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54994598400).

40632658452 is an abundant number, since it is smaller than the sum of its proper divisors (69356538348).

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

40632658452 is a wasteful number, since it uses less digits than its factorization.

40632658452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9714 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 40632658452 in words is "forty billion, six hundred thirty-two million, six hundred fifty-eight thousand, four hundred fifty-two".