42125010149376 has 1344 divisors, whose sum is σ = 161194175041536. Its totient is φ = 10673101209600.

The previous prime is 42125010149363. The next prime is 42125010149399. The reversal of 42125010149376 is 67394101052124.

42125010149376 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 50 + 101 + 493 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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, 6284497641 + ... + 6284504343.

It is an arithmetic number, because the mean of its divisors is an integer number (119936142144).

Almost surely, 2^{42125010149376} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42125010149376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80597087520768).

42125010149376 is an abundant number, since it is smaller than the sum of its proper divisors (119069164892160).

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

42125010149376 is an equidigital number, since it uses as much as digits as its factorization.

42125010149376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6803 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 42125010149376 in words is "forty-two trillion, one hundred twenty-five billion, ten million, one hundred forty-nine thousand, three hundred seventy-six".