42340344211440 has 640 divisors, whose sum is σ = 164640776601600. Its totient is φ = 9906914304000.

The previous prime is 42340344211439. The next prime is 42340344211457. The reversal of 42340344211440 is 4411244304324.

42340344211440 is a `hidden beast` number, since 4 + 23 + 40 + 3 + 442 + 114 + 40 = 666.

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 = 42340344211395 and 42340344211404.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2336525580 + ... + 2336543700.

It is an arithmetic number, because the mean of its divisors is an integer number (257251213440).

Almost surely, 2^{42340344211440} is an apocalyptic number.

42340344211440 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 42340344211440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82320388300800).

42340344211440 is an abundant number, since it is smaller than the sum of its proper divisors (122300432390160).

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

42340344211440 is a wasteful number, since it uses less digits than its factorization.

42340344211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21574 (or 21562 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 42340344211440 its reverse (4411244304324), we get a palindrome (46751588515764).

The spelling of 42340344211440 in words is "forty-two trillion, three hundred forty billion, three hundred forty-four million, two hundred eleven thousand, four hundred forty".