42692078370816 has 1536 divisors, whose sum is σ = 152230645432320. Its totient is φ = 11702381838336.

The previous prime is 42692078370811. The next prime is 42692078370899. The reversal of 42692078370816 is 61807387029624.

42692078370816 is a `hidden beast` number, since 42 + 6 + 9 + 207 + 8 + 370 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×42692078370816² (a number of 28 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42692078370811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261914591151 + ... + 261914591313.

It is an arithmetic number, because the mean of its divisors is an integer number (99108493120).

Almost surely, 2^{42692078370816} 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 42692078370816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76115322716160).

42692078370816 is an abundant number, since it is smaller than the sum of its proper divisors (109538567061504).

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

42692078370816 is an equidigital number, since it uses as much as digits as its factorization.

42692078370816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 42692078370816 in words is "forty-two trillion, six hundred ninety-two billion, seventy-eight million, three hundred seventy thousand, eight hundred sixteen".