40122142680 has 256 divisors, whose sum is σ = 136692748800. Its totient is φ = 9359400960.

The previous prime is 40122142679. The next prime is 40122142681. The reversal of 40122142680 is 8624122104.

It is an interprime number because it is at equal distance from previous prime (40122142679) and next prime (40122142681).

It is a super-3 number, since 3×40122142680³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40122142681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2044515 + ... + 2064045.

It is an arithmetic number, because the mean of its divisors is an integer number (533956050).

Almost surely, 2^40122142680 is an apocalyptic number.

40122142680 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 40122142680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68346374400).

40122142680 is an abundant number, since it is smaller than the sum of its proper divisors (96570606120).

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

40122142680 is a wasteful number, since it uses less digits than its factorization.

40122142680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19634 (or 19630 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

Adding to 40122142680 its reverse (8624122104), we get a palindrome (48746264784).

The spelling of 40122142680 in words is "forty billion, one hundred twenty-two million, one hundred forty-two thousand, six hundred eighty".