42400013043340 has 192 divisors, whose sum is σ = 96087501619200. Its totient is φ = 15669230976000.

The previous prime is 42400013043319. The next prime is 42400013043361. The reversal of 42400013043340 is 4334031000424.

It is an interprime number because it is at equal distance from previous prime (42400013043319) and next prime (42400013043361).

It is a super-2 number, since 2×42400013043340² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42400013043299 and 42400013043308.

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 63 ways as a sum of consecutive naturals, for example, 677490850 + ... + 677553430.

It is an arithmetic number, because the mean of its divisors is an integer number (500455737600).

Almost surely, 2^{42400013043340} 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 42400013043340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48043750809600).

42400013043340 is an abundant number, since it is smaller than the sum of its proper divisors (53687488575860).

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

42400013043340 is a wasteful number, since it uses less digits than its factorization.

42400013043340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62976 (or 62974 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 42400013043340 its reverse (4334031000424), we get a palindrome (46734044043764).

The spelling of 42400013043340 in words is "forty-two trillion, four hundred billion, thirteen million, forty-three thousand, three hundred forty".