40261632 has 48 divisors (see below), whose sum is σ = 107354520. Its totient is φ = 13418496.

The previous prime is 40261621. The next prime is 40261643. The reversal of 40261632 is 23616204.

It is an interprime number because it is at equal distance from previous prime (40261621) and next prime (40261643).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×40261632² = 3241998022606848, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2868 + ... + 9420.

Almost surely, 2^40261632 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 40261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53677260).

40261632 is an abundant number, since it is smaller than the sum of its proper divisors (67092888).

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

40261632 is an equidigital number, since it uses as much as digits as its factorization.

40261632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578 (or 6558 counting only the distinct ones).

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

The square root of 40261632 is about 6345.2054340265. The cubic root of 40261632 is about 342.7392102330.

Adding to 40261632 its reverse (23616204), we get a palindrome (63877836).

The spelling of 40261632 in words is "forty million, two hundred sixty-one thousand, six hundred thirty-two".