42247963929600 has 5280 divisors, whose sum is σ = 202006780113600. Its totient is φ = 8591140454400.

The previous prime is 42247963929599. The next prime is 42247963929659. The reversal of 42247963929600 is 692936974224.

42247963929600 is a `hidden beast` number, since 4 + 22 + 479 + 63 + 9 + 29 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1456826342386 + ... + 1456826342414.

It is an arithmetic number, because the mean of its divisors is an integer number (38258859870).

Almost surely, 2^{42247963929600} is an apocalyptic number.

42247963929600 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 42247963929600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101003390056800).

42247963929600 is an abundant number, since it is smaller than the sum of its proper divisors (159758816184000).

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

42247963929600 is a wasteful number, since it uses less digits than its factorization.

42247963929600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 42247963929600 in words is "forty-two trillion, two hundred forty-seven billion, nine hundred sixty-three million, nine hundred twenty-nine thousand, six hundred".