42477272761220 has 192 divisors, whose sum is σ = 102217482662400. Its totient is φ = 14676545495040.

The previous prime is 42477272761093. The next prime is 42477272761229. The reversal of 42477272761220 is 2216727277424.

It is not an unprimeable number, because it can be changed into a prime (42477272761229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5075545196 + ... + 5075553564.

It is an arithmetic number, because the mean of its divisors is an integer number (532382722200).

Almost surely, 2^{42477272761220} 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 42477272761220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51108741331200).

42477272761220 is an abundant number, since it is smaller than the sum of its proper divisors (59740209901180).

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

42477272761220 is a wasteful number, since it uses less digits than its factorization.

42477272761220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14958 (or 14956 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 53.

The spelling of 42477272761220 in words is "forty-two trillion, four hundred seventy-seven billion, two hundred seventy-two million, seven hundred sixty-one thousand, two hundred twenty".