40729552 has 40 divisors (see below), whose sum is σ = 84242376. Its totient is φ = 19009536.

The previous prime is 40729487. The next prime is 40729571. The reversal of 40729552 is 25592704.

It can be written as a sum of positive squares in 4 ways, for example, as 25644096 + 15085456 = 5064^2 + 3884^2 .

It is a super-2 number, since 2×40729552² = 3317792812241408, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36718 + ... + 37810.

Almost surely, 2^40729552 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 40729552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42121188).

40729552 is an abundant number, since it is smaller than the sum of its proper divisors (43512824).

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

40729552 is a wasteful number, since it uses less digits than its factorization.

40729552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 40729552 is about 6381.9708554646. The cubic root of 40729552 is about 344.0618691677.

The spelling of 40729552 in words is "forty million, seven hundred twenty-nine thousand, five hundred fifty-two".