40220640 has 288 divisors, whose sum is σ = 152845056. Its totient is φ = 9584640.

The previous prime is 40220639. The next prime is 40220659. The reversal of 40220640 is 4602204.

40220640 = 250² + 251² + ... + 514².

40220640 is a `hidden beast` number, since 4 + 0 + 2 + 20 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 758854 + ... + 758906.

It is an arithmetic number, because the mean of its divisors is an integer number (530712).

Almost surely, 2^40220640 is an apocalyptic number.

40220640 is a gapful number since it is divisible by the number (40) 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 40220640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76422528).

40220640 is an abundant number, since it is smaller than the sum of its proper divisors (112624416).

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

40220640 is a wasteful number, since it uses less digits than its factorization.

40220640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40220640 is about 6341.9744559561. The cubic root of 40220640 is about 342.6228518387.

Adding to 40220640 its reverse (4602204), we get a palindrome (44822844).

The spelling of 40220640 in words is "forty million, two hundred twenty thousand, six hundred forty".