42127827840 has 640 divisors, whose sum is σ = 182079057600. Its totient is φ = 9061466112.

The previous prime is 42127827829. The next prime is 42127827871. The reversal of 42127827840 is 4872872124.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6165546 + ... + 6172374.

Almost surely, 2^42127827840 is an apocalyptic number.

42127827840 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 42127827840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91039528800).

42127827840 is an abundant number, since it is smaller than the sum of its proper divisors (139951229760).

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

42127827840 is a wasteful number, since it uses less digits than its factorization.

42127827840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6884 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 42127827840 in words is "forty-two billion, one hundred twenty-seven million, eight hundred twenty-seven thousand, eight hundred forty".