246130201000440 has 576 divisors, whose sum is σ = 856000407824640. Its totient is φ = 61268550819840.

The previous prime is 246130201000429. The next prime is 246130201000559. The reversal of 246130201000440 is 44000102031642.

It is a happy number.

246130201000440 is a `hidden beast` number, since 2 + 4 + 6 + 13 + 0 + 201 + 0 + 0 + 0 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10258405084 + ... + 10258429076.

It is an arithmetic number, because the mean of its divisors is an integer number (1486111819140).

Almost surely, 2^{246130201000440} is an apocalyptic number.

246130201000440 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 246130201000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428000203912320).

246130201000440 is an abundant number, since it is smaller than the sum of its proper divisors (609870206824200).

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

246130201000440 is a wasteful number, since it uses less digits than its factorization.

246130201000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25192 (or 25156 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 246130201000440 in words is "two hundred forty-six trillion, one hundred thirty billion, two hundred one million, four hundred forty", and thus it is an aban number.