4612878741240 has 768 divisors, whose sum is σ = 19320391434240. Its totient is φ = 926335872000.

The previous prime is 4612878741227. The next prime is 4612878741269. The reversal of 4612878741240 is 421478782164.

It is a happy number.

4612878741240 is a `hidden beast` number, since 4 + 6 + 1 + 287 + 87 + 41 + 240 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 710654395 + ... + 710660885.

It is an arithmetic number, because the mean of its divisors is an integer number (25156759680).

Almost surely, 2^{4612878741240} is an apocalyptic number.

4612878741240 is a gapful number since it is divisible by the number (40) 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 4612878741240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9660195717120).

4612878741240 is an abundant number, since it is smaller than the sum of its proper divisors (14707512693000).

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

4612878741240 is a wasteful number, since it uses less digits than its factorization.

4612878741240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7384 (or 7377 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 4612878741240 in words is "four trillion, six hundred twelve billion, eight hundred seventy-eight million, seven hundred forty-one thousand, two hundred forty".