40414672 has 30 divisors (see below), whose sum is σ = 82653378. Its totient is φ = 19141056.

The previous prime is 40414651. The next prime is 40414681. The reversal of 40414672 is 27641404.

It can be written as a sum of positive squares in only one way, i.e., 31629376 + 8785296 = 5624^2 + 2964^2 .

It is a super-3 number, since 3×40414672³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40414672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2278 + ... + 9274.

Almost surely, 2^40414672 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 40414672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41326689).

40414672 is an abundant number, since it is smaller than the sum of its proper divisors (42238706).

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

40414672 is a wasteful number, since it uses less digits than its factorization.

40414672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7043 (or 7018 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 40414672 is about 6357.2534950244. The cubic root of 40414672 is about 343.1729274472.

The spelling of 40414672 in words is "forty million, four hundred fourteen thousand, six hundred seventy-two".