40261536 has 180 divisors, whose sum is σ = 138174498. Its totient is φ = 11467008.

The previous prime is 40261531. The next prime is 40261547. The reversal of 40261536 is 63516204.

40261536 is a `hidden beast` number, since 40 + 2 + 615 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39690000 + 571536 = 6300^2 + 756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40261531) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126850 + ... + 127166.

Almost surely, 2^40261536 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 40261536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69087249).

40261536 is an abundant number, since it is smaller than the sum of its proper divisors (97912962).

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

40261536 is a wasteful number, since it uses less digits than its factorization.

40261536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 40261536 is about 6345.1978692551. The cubic root of 40261536 is about 342.7389378232.

The spelling of 40261536 in words is "forty million, two hundred sixty-one thousand, five hundred thirty-six".