12401706240 has 1296 divisors, whose sum is σ = 56997577728. Its totient is φ = 2433024000.

The previous prime is 12401706223. The next prime is 12401706257. The reversal of 12401706240 is 4260710421.

12401706240 is a `hidden beast` number, since 1 + 24 + 0 + 17 + 0 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12401706223) and next prime (12401706257).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 302480620 + ... + 302480660.

Almost surely, 2^12401706240 is an apocalyptic number.

12401706240 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 12401706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28498788864).

12401706240 is an abundant number, since it is smaller than the sum of its proper divisors (44595871488).

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

12401706240 is a wasteful number, since it uses less digits than its factorization.

12401706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 12401706240 in words is "twelve billion, four hundred one million, seven hundred six thousand, two hundred forty".