40077432 has 96 divisors (see below), whose sum is σ = 116251200. Its totient is φ = 12429312.

The previous prime is 40077413. The next prime is 40077437. The reversal of 40077432 is 23477004.

It is a junction number, because it is equal to n+sod(n) for n = 40077396 and 40077405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40077437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167569 + ... + 167807.

It is an arithmetic number, because the mean of its divisors is an integer number (1210950).

Almost surely, 2^40077432 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 40077432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58125600).

40077432 is an abundant number, since it is smaller than the sum of its proper divisors (76173768).

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

40077432 is a wasteful number, since it uses less digits than its factorization.

40077432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 40077432 is about 6330.6738977774. The cubic root of 40077432 is about 342.2157251879.

The spelling of 40077432 in words is "forty million, seventy-seven thousand, four hundred thirty-two".