212387385450240 has 8640 divisors, whose sum is σ = 1139519766591360. Its totient is φ = 36956767518720.

The previous prime is 212387385450239. The next prime is 212387385450263. The reversal of 212387385450240 is 42054583783212.

212387385450240 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 8 + 73 + 8 + 545 + 0 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

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 959 ways as a sum of consecutive naturals, for example, 358157479384 + ... + 358157479976.

It is an arithmetic number, because the mean of its divisors is an integer number (131888861874).

Almost surely, 2^{212387385450240} is an apocalyptic number.

212387385450240 is a gapful number since it is divisible by the number (20) 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 212387385450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569759883295680).

212387385450240 is an abundant number, since it is smaller than the sum of its proper divisors (927132381141120).

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

212387385450240 is a wasteful number, since it uses less digits than its factorization.

212387385450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 212387385450240 in words is "two hundred twelve trillion, three hundred eighty-seven billion, three hundred eighty-five million, four hundred fifty thousand, two hundred forty".