40205497702132 has 216 divisors, whose sum is σ = 95439318375744. Its totient is φ = 14695797828096.

The previous prime is 40205497702009. The next prime is 40205497702163. The reversal of 40205497702132 is 23120779450204.

It is a super-2 number, since 2×40205497702132² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26938963 + ... + 28392229.

It is an arithmetic number, because the mean of its divisors is an integer number (441848696184).

Almost surely, 2^{40205497702132} 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 40205497702132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47719659187872).

40205497702132 is an abundant number, since it is smaller than the sum of its proper divisors (55233820673612).

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

40205497702132 is a wasteful number, since it uses less digits than its factorization.

40205497702132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453363 (or 1453335 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 40205497702132 in words is "forty trillion, two hundred five billion, four hundred ninety-seven million, seven hundred two thousand, one hundred thirty-two".