4211385488640 has 432 divisors, whose sum is σ = 16484326238016. Its totient is φ = 1020941107200.

The previous prime is 4211385488633. The next prime is 4211385488689. The reversal of 4211385488640 is 468845831124.

4211385488640 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 38 + 548 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806000 + ... + 4036880.

It is an arithmetic number, because the mean of its divisors is an integer number (38158162588).

Almost surely, 2^{4211385488640} is an apocalyptic number.

4211385488640 is a gapful number since it is divisible by the number (40) 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 4211385488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242163119008).

4211385488640 is an abundant number, since it is smaller than the sum of its proper divisors (12272940749376).

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

4211385488640 is a wasteful number, since it uses less digits than its factorization.

4211385488640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230928 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 4211385488640 in words is "four trillion, two hundred eleven billion, three hundred eighty-five million, four hundred eighty-eight thousand, six hundred forty".