40213136832 has 224 divisors, whose sum is σ = 121754188800. Its totient is φ = 11603128320.

The previous prime is 40213136813. The next prime is 40213136833. The reversal of 40213136832 is 23863131204.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40213136793 and 40213136802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40213136833) 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, 3667294 + ... + 3678242.

Almost surely, 2^40213136832 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 40213136832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60877094400).

40213136832 is an abundant number, since it is smaller than the sum of its proper divisors (81541051968).

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

40213136832 is a wasteful number, since it uses less digits than its factorization.

40213136832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11059 (or 11049 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 40213136832 in words is "forty billion, two hundred thirteen million, one hundred thirty-six thousand, eight hundred thirty-two".