42477120000 has 1200 divisors, whose sum is σ = 182802734400. Its totient is φ = 9483264000.

The previous prime is 42477119983. The next prime is 42477120013. The reversal of 42477120000 is 2177424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 987839979 + ... + 987840021.

It is an arithmetic number, because the mean of its divisors is an integer number (152335612).

Almost surely, 2^42477120000 is an apocalyptic number.

42477120000 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 42477120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91401367200).

42477120000 is an abundant number, since it is smaller than the sum of its proper divisors (140325614400).

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

42477120000 is an frugal number, since it uses more digits than its factorization.

42477120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

Adding to 42477120000 its reverse (2177424), we get a palindrome (42479297424).

The spelling of 42477120000 in words is "forty-two billion, four hundred seventy-seven million, one hundred twenty thousand".