40202527680 has 336 divisors, whose sum is σ = 158460179904. Its totient is φ = 9164390400.

The previous prime is 40202527667. The next prime is 40202527681. The reversal of 40202527680 is 8672520204.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×40202527680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40202527681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8081674 + ... + 8086646.

Almost surely, 2^40202527680 is an apocalyptic number.

40202527680 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 40202527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79230089952).

40202527680 is an abundant number, since it is smaller than the sum of its proper divisors (118257652224).

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

40202527680 is a wasteful number, since it uses less digits than its factorization.

40202527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5404 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 40202527680 in words is "forty billion, two hundred two million, five hundred twenty-seven thousand, six hundred eighty".