7421349841920 has 704 divisors, whose sum is σ = 30480897715200. Its totient is φ = 1677229424640.

The previous prime is 7421349841897. The next prime is 7421349841921. The reversal of 7421349841920 is 291489431247.

7421349841920 is a `hidden beast` number, since 7 + 4 + 2 + 134 + 98 + 419 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7421349841921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86080435 + ... + 86166605.

Almost surely, 2^{7421349841920} is an apocalyptic number.

7421349841920 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 7421349841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240448857600).

7421349841920 is an abundant number, since it is smaller than the sum of its proper divisors (23059547873280).

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

7421349841920 is a wasteful number, since it uses less digits than its factorization.

7421349841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86301 (or 86277 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 7421349841920 in words is "seven trillion, four hundred twenty-one billion, three hundred forty-nine million, eight hundred forty-one thousand, nine hundred twenty".