7401227579920 has 160 divisors (see below), whose sum is σ = 18151680718080. Its totient is φ = 2798775613440.

The previous prime is 7401227579861. The next prime is 7401227579957. The reversal of 7401227579920 is 299757221047.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042843229 + ... + 2042846851.

It is an arithmetic number, because the mean of its divisors is an integer number (113448004488).

Almost surely, 2^{7401227579920} 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 7401227579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9075840359040).

7401227579920 is an abundant number, since it is smaller than the sum of its proper divisors (10750453138160).

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

7401227579920 is a wasteful number, since it uses less digits than its factorization.

7401227579920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 55.

The spelling of 7401227579920 in words is "seven trillion, four hundred one billion, two hundred twenty-seven million, five hundred seventy-nine thousand, nine hundred twenty".