42799279461120 has 3456 divisors, whose sum is σ = 200061497825280. Its totient is φ = 8571446231040.

The previous prime is 42799279461067. The next prime is 42799279461149. The reversal of 42799279461120 is 2116497299724.

42799279461120 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 9 + 2 + 7 + 9 + 4 + 611 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 91647279127 + ... + 91647279593.

It is an arithmetic number, because the mean of its divisors is an integer number (57888164880).

Almost surely, 2^{42799279461120} is an apocalyptic number.

42799279461120 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 42799279461120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100030748912640).

42799279461120 is an abundant number, since it is smaller than the sum of its proper divisors (157262218364160).

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

42799279461120 is a wasteful number, since it uses less digits than its factorization.

42799279461120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 42799279461120 in words is "forty-two trillion, seven hundred ninety-nine billion, two hundred seventy-nine million, four hundred sixty-one thousand, one hundred twenty".