6211011889440 has 288 divisors, whose sum is σ = 22237468710912. Its totient is φ = 1576564992000.

The previous prime is 6211011889399. The next prime is 6211011889441. The reversal of 6211011889440 is 449881101126.

6211011889440 is a `hidden beast` number, since 6 + 2 + 1 + 10 + 118 + 89 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (6211011889441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1582585 + ... + 3863495.

It is an arithmetic number, because the mean of its divisors is an integer number (77213433024).

Almost surely, 2^{6211011889440} is an apocalyptic number.

6211011889440 is a gapful number since it is divisible by the number (60) 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 6211011889440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11118734355456).

6211011889440 is an abundant number, since it is smaller than the sum of its proper divisors (16026456821472).

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

6211011889440 is a wasteful number, since it uses less digits than its factorization.

6211011889440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2281024 (or 2281013 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 6211011889440 in words is "six trillion, two hundred eleven billion, eleven million, eight hundred eighty-nine thousand, four hundred forty".