42421914501120 has 4896 divisors, whose sum is σ = 208332476561664. Its totient is φ = 8072189706240.

The previous prime is 42421914501107. The next prime is 42421914501143. The reversal of 42421914501120 is 2110541912424.

42421914501120 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 1 + 91 + 450 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4896).

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1146538229742 + ... + 1146538229778.

Almost surely, 2^{42421914501120} is an apocalyptic number.

42421914501120 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 42421914501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104166238280832).

42421914501120 is an abundant number, since it is smaller than the sum of its proper divisors (165910562060544).

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

42421914501120 is an equidigital number, since it uses as much as digits as its factorization.

42421914501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 42421914501120 in words is "forty-two trillion, four hundred twenty-one billion, nine hundred fourteen million, five hundred one thousand, one hundred twenty".