42210475380000 has 2880 divisors, whose sum is σ = 174393633173760. Its totient is φ = 9985130496000.

The previous prime is 42210475379999. The next prime is 42210475380013. The reversal of 42210475380000 is 8357401224.

It is a happy number.

42210475380000 is a `hidden beast` number, since 422 + 104 + 7 + 53 + 80 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×42210475380000² (a number of 28 digits) contains 22 as substring.

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 479 ways as a sum of consecutive naturals, for example, 184325219886 + ... + 184325220114.

It is an arithmetic number, because the mean of its divisors is an integer number (60553344852).

Almost surely, 2^{42210475380000} is an apocalyptic number.

42210475380000 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 42210475380000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87196816586880).

42210475380000 is an abundant number, since it is smaller than the sum of its proper divisors (132183157793760).

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

42210475380000 is a wasteful number, since it uses less digits than its factorization.

42210475380000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 42210475380000 in words is "forty-two trillion, two hundred ten billion, four hundred seventy-five million, three hundred eighty thousand".