42949191448800 has 3456 divisors, whose sum is σ = 207365227776000. Its totient is φ = 8523232542720.

The previous prime is 42949191448741. The next prime is 42949191448879. The reversal of 42949191448800 is 884419194924.

42949191448800 is a `hidden beast` number, since 4 + 29 + 4 + 9 + 1 + 91 + 448 + 80 + 0 = 666.

42949191448800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42949191448800² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 27834860829 + ... + 27834862371.

Almost surely, 2^{42949191448800} is an apocalyptic number.

42949191448800 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 42949191448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103682613888000).

42949191448800 is an abundant number, since it is smaller than the sum of its proper divisors (164416036327200).

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

42949191448800 is a wasteful number, since it uses less digits than its factorization.

42949191448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 42949191448800 in words is "forty-two trillion, nine hundred forty-nine billion, one hundred ninety-one million, four hundred forty-eight thousand, eight hundred".