7942508421120 has 3136 divisors, whose sum is σ = 36581073822720. Its totient is φ = 1609851469824.

The previous prime is 7942508421119. The next prime is 7942508421131. The reversal of 7942508421120 is 211248052497.

7942508421120 is a `hidden beast` number, since 7 + 9 + 425 + 0 + 8 + 4 + 211 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 100538081241 + ... + 100538081319.

Almost surely, 2^{7942508421120} is an apocalyptic number.

7942508421120 is a gapful number since it is divisible by the number (70) 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 7942508421120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18290536911360).

7942508421120 is an abundant number, since it is smaller than the sum of its proper divisors (28638565401600).

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

7942508421120 is an equidigital number, since it uses as much as digits as its factorization.

7942508421120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 7942508421120 in words is "seven trillion, nine hundred forty-two billion, five hundred eight million, four hundred twenty-one thousand, one hundred twenty".