42781411418724 has 96 divisors (see below), whose sum is σ = 120999959498880. Its totient is φ = 12963846758400.

The previous prime is 42781411418719. The next prime is 42781411418729.

It is a happy number.

42781411418724 is a `hidden beast` number, since 4 + 27 + 8 + 1 + 411 + 4 + 187 + 24 = 666.

42781411418724 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (42781411418719) and next prime (42781411418729).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42781411418729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79471492 + ... + 80008004.

It is an arithmetic number, because the mean of its divisors is an integer number (1260416244780).

Almost surely, 2^{42781411418724} is an apocalyptic number.

42781411418724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42781411418724 is an abundant number, since it is smaller than the sum of its proper divisors (78218548080156).

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

42781411418724 is a wasteful number, since it uses less digits than its factorization.

42781411418724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603658 (or 603650 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 54.

The spelling of 42781411418724 in words is "forty-two trillion, seven hundred eighty-one billion, four hundred eleven million, four hundred eighteen thousand, seven hundred twenty-four".