42464754774200 has 192 divisors, whose sum is σ = 110402499100320. Its totient is φ = 15055617024000.

The previous prime is 42464754774137. The next prime is 42464754774203. The reversal of 42464754774200 is 247745746424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42464754774203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143902004 + ... + 144196796.

Almost surely, 2^{42464754774200} is an apocalyptic number.

42464754774200 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 42464754774200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55201249550160).

42464754774200 is an abundant number, since it is smaller than the sum of its proper divisors (67937744326120).

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

42464754774200 is a wasteful number, since it uses less digits than its factorization.

42464754774200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296458 (or 296449 counting only the distinct ones).

The product of its (nonzero) digits is 42147840, while the sum is 56.

The spelling of 42464754774200 in words is "forty-two trillion, four hundred sixty-four billion, seven hundred fifty-four million, seven hundred seventy-four thousand, two hundred".