6412107018240 has 2496 divisors, whose sum is σ = 29778984668160. Its totient is φ = 1284211998720.

The previous prime is 6412107018181. The next prime is 6412107018263. The reversal of 6412107018240 is 428107012146.

It is a happy number.

6412107018240 is a `hidden beast` number, since 641 + 2 + 1 + 0 + 7 + 0 + 1 + 8 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×6412107018240² (a number of 26 digits) contains 22 as substring.

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 = 6412107018195 and 6412107018204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11112836832 + ... + 11112837408.

It is an arithmetic number, because the mean of its divisors is an integer number (11930682960).

Almost surely, 2^{6412107018240} is an apocalyptic number.

6412107018240 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 6412107018240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14889492334080).

6412107018240 is an abundant number, since it is smaller than the sum of its proper divisors (23366877649920).

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

6412107018240 is a wasteful number, since it uses less digits than its factorization.

6412107018240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 6412107018240 in words is "six trillion, four hundred twelve billion, one hundred seven million, eighteen thousand, two hundred forty".