42160973400 has 1728 divisors, whose sum is σ = 198107320320. Its totient is φ = 7800883200.

The previous prime is 42160973359. The next prime is 42160973411. The reversal of 42160973400 is 437906124.

42160973400 is a `hidden beast` number, since 4 + 2 + 1 + 609 + 7 + 3 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1360031385 + ... + 1360031415.

It is an arithmetic number, because the mean of its divisors is an integer number (114645440).

Almost surely, 2^42160973400 is an apocalyptic number.

42160973400 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 42160973400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99053660160).

42160973400 is an abundant number, since it is smaller than the sum of its proper divisors (155946346920).

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

42160973400 is a wasteful number, since it uses less digits than its factorization.

42160973400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 42160973400 in words is "forty-two billion, one hundred sixty million, nine hundred seventy-three thousand, four hundred".