40126632 has 128 divisors (see below), whose sum is σ = 130099200. Its totient is φ = 10015488.

The previous prime is 40126631. The next prime is 40126663. The reversal of 40126632 is 23662104.

It is a super-2 number, since 2×40126632² = 3220293191326848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (40126631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41013 + ... + 41979.

It is an arithmetic number, because the mean of its divisors is an integer number (1016400).

Almost surely, 2^40126632 is an apocalyptic number.

40126632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40126632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65049600).

40126632 is an abundant number, since it is smaller than the sum of its proper divisors (89972568).

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

40126632 is a wasteful number, since it uses less digits than its factorization.

40126632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 40126632 is about 6334.5585481547. The cubic root of 40126632 is about 342.3557052856.

Adding to 40126632 its reverse (23662104), we get a palindrome (63788736).

The spelling of 40126632 in words is "forty million, one hundred twenty-six thousand, six hundred thirty-two".