42980367091200 has 1440 divisors, whose sum is σ = 180450582744960. Its totient is φ = 8917519564800.

The previous prime is 42980367091187. The next prime is 42980367091217. The reversal of 42980367091200 is 219076308924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19724811711 + ... + 19724813889.

It is an arithmetic number, because the mean of its divisors is an integer number (125312904684).

Almost surely, 2^{42980367091200} is an apocalyptic number.

42980367091200 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 42980367091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90225291372480).

42980367091200 is an abundant number, since it is smaller than the sum of its proper divisors (137470215653760).

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

42980367091200 is a wasteful number, since it uses less digits than its factorization.

42980367091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 42980367091200 in words is "forty-two trillion, nine hundred eighty billion, three hundred sixty-seven million, ninety-one thousand, two hundred".