42146227062400 has 192 divisors, whose sum is σ = 111250105263000. Its totient is φ = 15721245573120.

The previous prime is 42146227062367. The next prime is 42146227062403. The reversal of 42146227062400 is 426072264124.

It can be written as a sum of positive squares in 12 ways, for example, as 1522736256064 + 40623490806336 = 1233992^2 + 6373656^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (42146227062403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2375716 + ... + 9483484.

Almost surely, 2^{42146227062400} is an apocalyptic number.

42146227062400 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 42146227062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55625052631500).

42146227062400 is an abundant number, since it is smaller than the sum of its proper divisors (69103878200600).

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

42146227062400 is a wasteful number, since it uses less digits than its factorization.

42146227062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7107919 (or 7107902 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 40.

The spelling of 42146227062400 in words is "forty-two trillion, one hundred forty-six billion, two hundred twenty-seven million, sixty-two thousand, four hundred".