40206432 has 192 divisors, whose sum is σ = 131604480. Its totient is φ = 10492416.

The previous prime is 40206431. The next prime is 40206449. The reversal of 40206432 is 23460204.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 40206399 and 40206408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40206431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 600063 + ... + 600129.

It is an arithmetic number, because the mean of its divisors is an integer number (685440).

Almost surely, 2^40206432 is an apocalyptic number.

40206432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40206432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

40206432 is an abundant number, since it is smaller than the sum of its proper divisors (91398048).

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

40206432 is a wasteful number, since it uses less digits than its factorization.

40206432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 40206432 is about 6340.8542011309. The cubic root of 40206432 is about 342.5825030792.

Adding to 40206432 its reverse (23460204), we get a palindrome (63666636).

The spelling of 40206432 in words is "forty million, two hundred six thousand, four hundred thirty-two".