40597680240 has 360 divisors, whose sum is σ = 148146991200. Its totient is φ = 9958680576.

The previous prime is 40597680239. The next prime is 40597680241. The reversal of 40597680240 is 4208679504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40597680239) and next prime (40597680241).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40597680241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67775461 + ... + 67776059.

It is an arithmetic number, because the mean of its divisors is an integer number (411519420).

Almost surely, 2^40597680240 is an apocalyptic number.

40597680240 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 40597680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74073495600).

40597680240 is an abundant number, since it is smaller than the sum of its proper divisors (107549310960).

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

40597680240 is a wasteful number, since it uses less digits than its factorization.

40597680240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 40597680240 in words is "forty billion, five hundred ninety-seven million, six hundred eighty thousand, two hundred forty".