42477281280 has 1120 divisors, whose sum is σ = 182692730880. Its totient is φ = 9236643840.

The previous prime is 42477281237. The next prime is 42477281299. The reversal of 42477281280 is 8218277424.

42477281280 is a `hidden beast` number, since 4 + 24 + 77 + 281 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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, 719953891 + ... + 719953949.

Almost surely, 2^42477281280 is an apocalyptic number.

42477281280 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 42477281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91346365440).

42477281280 is an abundant number, since it is smaller than the sum of its proper divisors (140215449600).

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

42477281280 is an equidigital number, since it uses as much as digits as its factorization.

42477281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

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

The spelling of 42477281280 in words is "forty-two billion, four hundred seventy-seven million, two hundred eighty-one thousand, two hundred eighty".