1210338687360 has 768 divisors, whose sum is σ = 4350133797120. Its totient is φ = 283834368000.

The previous prime is 1210338687343. The next prime is 1210338687367. The reversal of 1210338687360 is 637868330121.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210338687367) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7425390639 + ... + 7425390801.

It is an arithmetic number, because the mean of its divisors is an integer number (5664236715).

Almost surely, 2^{1210338687360} is an apocalyptic number.

1210338687360 is a gapful number since it is divisible by the number (10) 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 1210338687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175066898560).

1210338687360 is an abundant number, since it is smaller than the sum of its proper divisors (3139795109760).

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

1210338687360 is a wasteful number, since it uses less digits than its factorization.

1210338687360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 1210338687360 in words is "one trillion, two hundred ten billion, three hundred thirty-eight million, six hundred eighty-seven thousand, three hundred sixty".