42130453466640 has 960 divisors, whose sum is σ = 166039473793536. Its totient is φ = 8649400320000.

The previous prime is 42130453466599. The next prime is 42130453466683. The reversal of 42130453466640 is 4666435403124.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42130453466640.

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, 11107420584 + ... + 11107424376.

Almost surely, 2^{42130453466640} is an apocalyptic number.

42130453466640 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 42130453466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83019736896768).

42130453466640 is an abundant number, since it is smaller than the sum of its proper divisors (123909020326896).

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

42130453466640 is a wasteful number, since it uses less digits than its factorization.

42130453466640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4480 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 48.

Adding to 42130453466640 its reverse (4666435403124), we get a palindrome (46796888869764).

The spelling of 42130453466640 in words is "forty-two trillion, one hundred thirty billion, four hundred fifty-three million, four hundred sixty-six thousand, six hundred forty".