7442400420 has 768 divisors, whose sum is σ = 30888345600. Its totient is φ = 1443225600.

The previous prime is 7442400391. The next prime is 7442400431. The reversal of 7442400420 is 240042447.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 49287345 + ... + 49287495.

It is an arithmetic number, because the mean of its divisors is an integer number (40219200).

Almost surely, 2^7442400420 is an apocalyptic number.

7442400420 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 7442400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444172800).

7442400420 is an abundant number, since it is smaller than the sum of its proper divisors (23445945180).

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

7442400420 is a wasteful number, since it uses less digits than its factorization.

7442400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 7442400420 is about 86269.3480907327. The cubic root of 7442400420 is about 1952.4099434769.

Adding to 7442400420 its reverse (240042447), we get a palindrome (7682442867).

The spelling of 7442400420 in words is "seven billion, four hundred forty-two million, four hundred thousand, four hundred twenty".