42819268078440 has 160 divisors (see below), whose sum is σ = 164480363182080. Its totient is φ = 9787261269888.

The previous prime is 42819268078409. The next prime is 42819268078453. The reversal of 42819268078440 is 4487086291824.

42819268078440 is a `hidden beast` number, since 4 + 28 + 1 + 9 + 26 + 80 + 78 + 440 = 666.

42819268078440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943964712 + ... + 944010071.

It is an arithmetic number, because the mean of its divisors is an integer number (1028002269888).

Almost surely, 2^{42819268078440} is an apocalyptic number.

42819268078440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42819268078440 is an abundant number, since it is smaller than the sum of its proper divisors (121661095103640).

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

42819268078440 is a wasteful number, since it uses less digits than its factorization.

42819268078440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887974813 (or 1887974800 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 42819268078440 in words is "forty-two trillion, eight hundred nineteen billion, two hundred sixty-eight million, seventy-eight thousand, four hundred forty".