7405221881088 has 432 divisors, whose sum is σ = 21852196329600. Its totient is φ = 2411311742976.

The previous prime is 7405221881059. The next prime is 7405221881117. The reversal of 7405221881088 is 8801881225047.

It is a happy number.

7405221881088 is a `hidden beast` number, since 7 + 4 + 0 + 522 + 1 + 8 + 8 + 108 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (7405221881059) and next prime (7405221881117).

It is a super-2 number, since 2×7405221881088² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8348614981 + ... + 8348615867.

It is an arithmetic number, because the mean of its divisors is an integer number (50583787800).

Almost surely, 2^{7405221881088} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7405221881088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10926098164800).

7405221881088 is an abundant number, since it is smaller than the sum of its proper divisors (14446974448512).

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

7405221881088 is a wasteful number, since it uses less digits than its factorization.

7405221881088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 2293760, while the sum is 54.

The spelling of 7405221881088 in words is "seven trillion, four hundred five billion, two hundred twenty-one million, eight hundred eighty-one thousand, eighty-eight".