340442234420040 has 192 divisors, whose sum is σ = 1116623456348400. Its totient is φ = 89948858351616.

The previous prime is 340442234420011. The next prime is 340442234420053. The reversal of 340442234420040 is 40024432244043.

340442234420040 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 4 + 223 + 4 + 420 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 208816314428484 + 131625919991556 = 14450478^2 + 11472834^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 340442234419977 and 340442234420004.

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, 1426372392 + ... + 1426611048.

Almost surely, 2^{340442234420040} is an apocalyptic number.

340442234420040 is a gapful number since it is divisible by the number (30) 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 340442234420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558311728174200).

340442234420040 is an abundant number, since it is smaller than the sum of its proper divisors (776181221928360).

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

340442234420040 is a wasteful number, since it uses less digits than its factorization.

340442234420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275136 (or 275129 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 340442234420040 its reverse (40024432244043), we get a palindrome (380466666664083).

The spelling of 340442234420040 in words is "three hundred forty trillion, four hundred forty-two billion, two hundred thirty-four million, four hundred twenty thousand, forty".