42421797161280 has 336 divisors, whose sum is σ = 151804141017984. Its totient is φ = 11276098283520.

The previous prime is 42421797161279. The next prime is 42421797161297. The reversal of 42421797161280 is 8216179712424.

It is a happy number.

42421797161280 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 17 + 9 + 7 + 1 + 612 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23306274 + ... + 25060446.

It is an arithmetic number, because the mean of its divisors is an integer number (451798038744).

Almost surely, 2^{42421797161280} is an apocalyptic number.

42421797161280 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 42421797161280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75902070508992).

42421797161280 is an abundant number, since it is smaller than the sum of its proper divisors (109382343856704).

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

42421797161280 is a wasteful number, since it uses less digits than its factorization.

42421797161280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754516 (or 1754494 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 42421797161280 in words is "forty-two trillion, four hundred twenty-one billion, seven hundred ninety-seven million, one hundred sixty-one thousand, two hundred eighty".