6214460711040 has 1024 divisors, whose sum is σ = 23299633152000. Its totient is φ = 1563716763648.

The previous prime is 6214460711033. The next prime is 6214460711059. The reversal of 6214460711040 is 401170644126.

It is a happy number.

6214460711040 is a `hidden beast` number, since 6 + 2 + 1 + 4 + 4 + 607 + 1 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6214460710986 and 6214460711004.

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, 2539623097 + ... + 2539625543.

It is an arithmetic number, because the mean of its divisors is an integer number (22753548000).

Almost surely, 2^{6214460711040} is an apocalyptic number.

6214460711040 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 6214460711040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649816576000).

6214460711040 is an abundant number, since it is smaller than the sum of its proper divisors (17085172440960).

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

6214460711040 is a wasteful number, since it uses less digits than its factorization.

6214460711040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 6214460711040 in words is "six trillion, two hundred fourteen billion, four hundred sixty million, seven hundred eleven thousand, forty".