40209200640 has 480 divisors, whose sum is σ = 164656514880. Its totient is φ = 8872722432.

The previous prime is 40209200593. The next prime is 40209200687. The reversal of 40209200640 is 4600290204.

It is an interprime number because it is at equal distance from previous prime (40209200593) and next prime (40209200687).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×40209200640² (a number of 22 digits) contains 22 as substring.

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, 4672822 + ... + 4681418.

It is an arithmetic number, because the mean of its divisors is an integer number (343034406).

Almost surely, 2^40209200640 is an apocalyptic number.

40209200640 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 40209200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82328257440).

40209200640 is an abundant number, since it is smaller than the sum of its proper divisors (124447314240).

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

40209200640 is a wasteful number, since it uses less digits than its factorization.

40209200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8662 (or 8643 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 40209200640 its reverse (4600290204), we get a palindrome (44809490844).

The spelling of 40209200640 in words is "forty billion, two hundred nine million, two hundred thousand, six hundred forty".