42879974400000 has 2016 divisors, whose sum is σ = 164635540838496. Its totient is φ = 11147673600000.

The previous prime is 42879974399959. The next prime is 42879974400001. The reversal of 42879974400000 is 447997824.

It is a happy number.

42879974400000 is a `hidden beast` number, since 4 + 2 + 87 + 99 + 74 + 400 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 42879974400000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42879974400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 379468799944 + ... + 379468800056.

It is an arithmetic number, because the mean of its divisors is an integer number (81664454781).

Almost surely, 2^{42879974400000} is an apocalyptic number.

42879974400000 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 42879974400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82317770419248).

42879974400000 is an abundant number, since it is smaller than the sum of its proper divisors (121755566438496).

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

42879974400000 is an frugal number, since it uses more digits than its factorization.

42879974400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 42879974400000 in words is "forty-two trillion, eight hundred seventy-nine billion, nine hundred seventy-four million, four hundred thousand".