42616498176000 has 2880 divisors, whose sum is σ = 184235388180480. Its totient is φ = 9274864435200.

The previous prime is 42616498175981. The next prime is 42616498176001. The reversal of 42616498176000 is 67189461624.

42616498176000 is a `hidden beast` number, since 4 + 2 + 6 + 16 + 4 + 9 + 8 + 17 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×42616498176000² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42616498176001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 377137151944 + ... + 377137152056.

It is an arithmetic number, because the mean of its divisors is an integer number (63970620896).

Almost surely, 2^{42616498176000} is an apocalyptic number.

42616498176000 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 42616498176000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92117694090240).

42616498176000 is an abundant number, since it is smaller than the sum of its proper divisors (141618890004480).

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

42616498176000 is a wasteful number, since it uses less digits than its factorization.

42616498176000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 42616498176000 in words is "forty-two trillion, six hundred sixteen billion, four hundred ninety-eight million, one hundred seventy-six thousand".