42461340600 has 768 divisors, whose sum is σ = 165696537600. Its totient is φ = 8778792960.

The previous prime is 42461340599. The next prime is 42461340631. The reversal of 42461340600 is 604316424.

42461340600 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 215539702 + ... + 215539898.

It is an arithmetic number, because the mean of its divisors is an integer number (215750700).

Almost surely, 2^42461340600 is an apocalyptic number.

42461340600 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 42461340600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82848268800).

42461340600 is an abundant number, since it is smaller than the sum of its proper divisors (123235197000).

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

42461340600 is a wasteful number, since it uses less digits than its factorization.

42461340600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 42461340600 in words is "forty-two billion, four hundred sixty-one million, three hundred forty thousand, six hundred".