42832706342400 has 1920 divisors, whose sum is σ = 173046424320000. Its totient is φ = 10312712847360.

The previous prime is 42832706342339. The next prime is 42832706342509. The reversal of 42832706342400 is 424360723824.

42832706342400 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 2 + 7 + 0 + 634 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×42832706342400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 92511244569 + ... + 92511245031.

It is an arithmetic number, because the mean of its divisors is an integer number (90128346000).

Almost surely, 2^{42832706342400} is an apocalyptic number.

42832706342400 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 42832706342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86523212160000).

42832706342400 is an abundant number, since it is smaller than the sum of its proper divisors (130213717977600).

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

42832706342400 is a wasteful number, since it uses less digits than its factorization.

42832706342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 42832706342400 in words is "forty-two trillion, eight hundred thirty-two billion, seven hundred six million, three hundred forty-two thousand, four hundred".