42701952384 has 1024 divisors, whose sum is σ = 168618240000. Its totient is φ = 10534551552.

The previous prime is 42701952341. The next prime is 42701952389. The reversal of 42701952384 is 48325910724.

42701952384 is a `hidden beast` number, since 42 + 7 + 0 + 1 + 9 + 523 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42701952389) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 261975087 + ... + 261975249.

It is an arithmetic number, because the mean of its divisors is an integer number (164666250).

Almost surely, 2^42701952384 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 42701952384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309120000).

42701952384 is an abundant number, since it is smaller than the sum of its proper divisors (125916287616).

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

42701952384 is a wasteful number, since it uses less digits than its factorization.

42701952384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42701952384 in words is "forty-two billion, seven hundred one million, nine hundred fifty-two thousand, three hundred eighty-four".