42314475715200 has 1152 divisors, whose sum is σ = 165958996694400. Its totient is φ = 10202753433600.

The previous prime is 42314475715181. The next prime is 42314475715217. The reversal of 42314475715200 is 251757441324.

42314475715200 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 447 + 57 + 152 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×42314475715200² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4173431731 + ... + 4173441869.

It is an arithmetic number, because the mean of its divisors is an integer number (144061629075).

Almost surely, 2^{42314475715200} is an apocalyptic number.

42314475715200 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 42314475715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82979498347200).

42314475715200 is an abundant number, since it is smaller than the sum of its proper divisors (123644520979200).

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

42314475715200 is a wasteful number, since it uses less digits than its factorization.

42314475715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 42314475715200 in words is "forty-two trillion, three hundred fourteen billion, four hundred seventy-five million, seven hundred fifteen thousand, two hundred".