42479262000 has 640 divisors, whose sum is σ = 175674470400. Its totient is φ = 9611136000.

The previous prime is 42479261999. The next prime is 42479262013. The reversal of 42479262000 is 26297424.

42479262000 is a `hidden beast` number, since 4 + 24 + 7 + 9 + 2 + 620 + 0 + 0 = 666.

42479262000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 41201485 + ... + 41202515.

It is an arithmetic number, because the mean of its divisors is an integer number (274491360).

Almost surely, 2^42479262000 is an apocalyptic number.

42479262000 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 42479262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87837235200).

42479262000 is an abundant number, since it is smaller than the sum of its proper divisors (133195208400).

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

42479262000 is a wasteful number, since it uses less digits than its factorization.

42479262000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1179 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 42479262000 in words is "forty-two billion, four hundred seventy-nine million, two hundred sixty-two thousand".