7111900124240 has 640 divisors, whose sum is σ = 18868552335360. Its totient is φ = 2482738790400.

The previous prime is 7111900124237. The next prime is 7111900124291. The reversal of 7111900124240 is 424210091117.

It is a junction number, because it is equal to n+sod(n) for n = 7111900124197 and 7111900124206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9782530757 + ... + 9782531483.

It is an arithmetic number, because the mean of its divisors is an integer number (29482113024).

Almost surely, 2^{7111900124240} 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 7111900124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9434276167680).

7111900124240 is an abundant number, since it is smaller than the sum of its proper divisors (11756652211120).

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

7111900124240 is a wasteful number, since it uses less digits than its factorization.

7111900124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 971 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 32.

The spelling of 7111900124240 in words is "seven trillion, one hundred eleven billion, nine hundred million, one hundred twenty-four thousand, two hundred forty".