40476672 has 140 divisors (see below), whose sum is σ = 122905266. Its totient is φ = 13271040.

The previous prime is 40476613. The next prime is 40476679. The reversal of 40476672 is 27667404.

It can be written as a sum of positive squares in only one way, i.e., 40144896 + 331776 = 6336^2 + 576^2 .

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 (40476679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663522 + ... + 663582.

Almost surely, 2^40476672 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 40476672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61452633).

40476672 is an abundant number, since it is smaller than the sum of its proper divisors (82428594).

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

40476672 is an frugal number, since it uses more digits than its factorization.

40476672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 40476672 is about 6362.1279458999. The cubic root of 40476672 is about 343.3483245620.

The spelling of 40476672 in words is "forty million, four hundred seventy-six thousand, six hundred seventy-two".