40122667424340 has 240 divisors, whose sum is σ = 126470685825792. Its totient is φ = 10648096890624.

The previous prime is 40122667424303. The next prime is 40122667424341. The reversal of 40122667424340 is 4342476622104.

40122667424340 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 266 + 7 + 42 + 4 + 340 = 666.

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 (40122667424341) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365337717 + ... + 365447523.

Almost surely, 2^{40122667424340} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40122667424340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63235342912896).

40122667424340 is an abundant number, since it is smaller than the sum of its proper divisors (86348018401452).

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

40122667424340 is a wasteful number, since it uses less digits than its factorization.

40122667424340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110908 (or 110897 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 40122667424340 in words is "forty trillion, one hundred twenty-two billion, six hundred sixty-seven million, four hundred twenty-four thousand, three hundred forty".