42950466357120 has 768 divisors, whose sum is σ = 171426070932480. Its totient is φ = 9705960898560.

The previous prime is 42950466357067. The next prime is 42950466357133. The reversal of 42950466357120 is 2175366405924.

It is a happy number.

42950466357120 is a `hidden beast` number, since 4 + 2 + 9 + 5 + 0 + 4 + 6 + 63 + 571 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4157430355 + ... + 4157440685.

It is an arithmetic number, because the mean of its divisors is an integer number (223211029860).

Almost surely, 2^{42950466357120} is an apocalyptic number.

42950466357120 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 42950466357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85713035466240).

42950466357120 is an abundant number, since it is smaller than the sum of its proper divisors (128475604575360).

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

42950466357120 is a wasteful number, since it uses less digits than its factorization.

42950466357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11523 (or 11508 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 42950466357120 in words is "forty-two trillion, nine hundred fifty billion, four hundred sixty-six million, three hundred fifty-seven thousand, one hundred twenty".