40211424 has 96 divisors (see below), whose sum is σ = 127975680. Its totient is φ = 12182400.

The previous prime is 40211419. The next prime is 40211459. The reversal of 40211424 is 42411204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40211397 and 40211406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7389 + ... + 11619.

It is an arithmetic number, because the mean of its divisors is an integer number (1333080).

Almost surely, 2^40211424 is an apocalyptic number.

40211424 is a gapful number since it is divisible by the number (44) 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 40211424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63987840).

40211424 is an abundant number, since it is smaller than the sum of its proper divisors (87764256).

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

40211424 is a wasteful number, since it uses less digits than its factorization.

40211424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4261 (or 4247 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 40211424 is about 6341.2478267294. The cubic root of 40211424 is about 342.5966807534.

Adding to 40211424 its reverse (42411204), we get a palindrome (82622628).

It can be divided in two parts, 4021 and 1424, that added together give a palindrome (5445).

The spelling of 40211424 in words is "forty million, two hundred eleven thousand, four hundred twenty-four".