40213231542432 has 480 divisors, whose sum is σ = 128396767769424. Its totient is φ = 12273057792000.

The previous prime is 40213231542427. The next prime is 40213231542437. The reversal of 40213231542432 is 23424513231204.

40213231542432 is a `hidden beast` number, since 4 + 0 + 21 + 32 + 31 + 542 + 4 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (40213231542427) and next prime (40213231542437).

It can be written as a sum of positive squares in 8 ways, for example, as 32575282290576 + 7637949251856 = 5707476^2 + 2763684^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40213231542437) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 7390776832 + ... + 7390782272.

Almost surely, 2^{40213231542432} 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 40213231542432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64198383884712).

40213231542432 is an abundant number, since it is smaller than the sum of its proper divisors (88183536226992).

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

40213231542432 is a wasteful number, since it uses less digits than its factorization.

40213231542432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7197 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 40213231542432 its reverse (23424513231204), we get a palindrome (63637744773636).

The spelling of 40213231542432 in words is "forty trillion, two hundred thirteen billion, two hundred thirty-one million, five hundred forty-two thousand, four hundred thirty-two".