7405848141120 has 1344 divisors, whose sum is σ = 31540762326528. Its totient is φ = 1569300480000.

The previous prime is 7405848141059. The next prime is 7405848141151. The reversal of 7405848141120 is 211418485047.

7405848141120 is a `hidden beast` number, since 7 + 4 + 0 + 5 + 8 + 481 + 41 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 956700450 + ... + 956708190.

It is an arithmetic number, because the mean of its divisors is an integer number (23467829112).

Almost surely, 2^{7405848141120} 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 7405848141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770381163264).

7405848141120 is an abundant number, since it is smaller than the sum of its proper divisors (24134914185408).

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

7405848141120 is a wasteful number, since it uses less digits than its factorization.

7405848141120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7912 (or 7899 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 7405848141120 in words is "seven trillion, four hundred five billion, eight hundred forty-eight million, one hundred forty-one thousand, one hundred twenty".