7422401280 has 576 divisors, whose sum is σ = 29527787520. Its totient is φ = 1550057472.

The previous prime is 7422401251. The next prime is 7422401333. The reversal of 7422401280 is 821042247.

It is a super-2 number, since 2×7422401280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16907301 + ... + 16907739.

It is an arithmetic number, because the mean of its divisors is an integer number (51263520).

Almost surely, 2^7422401280 is an apocalyptic number.

7422401280 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 7422401280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14763893760).

7422401280 is an abundant number, since it is smaller than the sum of its proper divisors (22105386240).

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

7422401280 is a wasteful number, since it uses less digits than its factorization.

7422401280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 7422401280 is about 86153.3590755462. The cubic root of 7422401280 is about 1950.6595428430.

The spelling of 7422401280 in words is "seven billion, four hundred twenty-two million, four hundred one thousand, two hundred eighty".