40146736 has 60 divisors (see below), whose sum is σ = 92102736. Its totient is φ = 16606080.

The previous prime is 40146731. The next prime is 40146761. The reversal of 40146736 is 63764104.

It is a super-2 number, since 2×40146736² = 3223520822907392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 40146698 and 40146707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40146731) 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 11 ways as a sum of consecutive naturals, for example, 107446 + ... + 107818.

Almost surely, 2^40146736 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 40146736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46051368).

40146736 is an abundant number, since it is smaller than the sum of its proper divisors (51956000).

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

40146736 is a wasteful number, since it uses less digits than its factorization.

40146736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 40146736 is about 6336.1452003564. The cubic root of 40146736 is about 342.4128707276.

The spelling of 40146736 in words is "forty million, one hundred forty-six thousand, seven hundred thirty-six".