7400121120 has 720 divisors, whose sum is σ = 31201365888. Its totient is φ = 1646023680.

The previous prime is 7400121109. The next prime is 7400121149. The reversal of 7400121120 is 211210047.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 7400121093 and 7400121102.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 27306585 + ... + 27306855.

Almost surely, 2^7400121120 is an apocalyptic number.

7400121120 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 7400121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600682944).

7400121120 is an abundant number, since it is smaller than the sum of its proper divisors (23801244768).

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

7400121120 is a wasteful number, since it uses less digits than its factorization.

7400121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7400121120 is about 86023.9566632458. The cubic root of 7400121120 is about 1948.7057921166.

Adding to 7400121120 its reverse (211210047), we get a palindrome (7611331167).

The spelling of 7400121120 in words is "seven billion, four hundred million, one hundred twenty-one thousand, one hundred twenty".