42129964800000 has 5184 divisors, whose sum is σ = 204808553913600. Its totient is φ = 8231731200000.

The previous prime is 42129964799987. The next prime is 42129964800019. The reversal of 42129964800000 is 846992124.

42129964800000 is a `hidden beast` number, since 42 + 129 + 9 + 6 + 480 + 0 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×42129964800000³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 714067199971 + ... + 714067200029.

It is an arithmetic number, because the mean of its divisors is an integer number (39507822900).

Almost surely, 2^{42129964800000} is an apocalyptic number.

42129964800000 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 42129964800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102404276956800).

42129964800000 is an abundant number, since it is smaller than the sum of its proper divisors (162678589113600).

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

42129964800000 is a wasteful number, since it uses less digits than its factorization.

42129964800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 42129964800000 in words is "forty-two trillion, one hundred twenty-nine billion, nine hundred sixty-four million, eight hundred thousand".