40051620 has 216 divisors, whose sum is σ = 149385600. Its totient is φ = 8636544.

The previous prime is 40051577. The next prime is 40051631. The reversal of 40051620 is 2615004.

It is a happy number.

40051620 is a `hidden beast` number, since 40 + 0 + 5 + 1 + 620 = 666.

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 = 40051593 and 40051602.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 167461 + ... + 167699.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 2^40051620 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 40051620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

40051620 is an abundant number, since it is smaller than the sum of its proper divisors (109333980).

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

40051620 is a wasteful number, since it uses less digits than its factorization.

40051620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40051620 is about 6328.6349238995. The cubic root of 40051620 is about 342.1422410273.

Adding to 40051620 its reverse (2615004), we get a palindrome (42666624).

It can be divided in two parts, 4005 and 1620, that added together give a square (5625 = 75²).

The spelling of 40051620 in words is "forty million, fifty-one thousand, six hundred twenty".