42292488268800 has 3696 divisors, whose sum is σ = 206410898976000. Its totient is φ = 8320145817600.

The previous prime is 42292488268691. The next prime is 42292488268801. The reversal of 42292488268800 is 886288429224.

42292488268800 is a `hidden beast` number, since 4 + 2 + 2 + 92 + 488 + 2 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (42292488268801) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 27303090426 + ... + 27303091974.

Almost surely, 2^{42292488268800} is an apocalyptic number.

42292488268800 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 42292488268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103205449488000).

42292488268800 is an abundant number, since it is smaller than the sum of its proper divisors (164118410707200).

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

42292488268800 is a wasteful number, since it uses less digits than its factorization.

42292488268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 56623104, while the sum is 63.

The spelling of 42292488268800 in words is "forty-two trillion, two hundred ninety-two billion, four hundred eighty-eight million, two hundred sixty-eight thousand, eight hundred".