27424461240 has 576 divisors, whose sum is σ = 105645496320. Its totient is φ = 6147187200.

The previous prime is 27424461227. The next prime is 27424461269. The reversal of 27424461240 is 4216442472.

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 = 27424461195 and 27424461204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31057839 + ... + 31058721.

It is an arithmetic number, because the mean of its divisors is an integer number (183412320).

Almost surely, 2^27424461240 is an apocalyptic number.

27424461240 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 27424461240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52822748160).

27424461240 is an abundant number, since it is smaller than the sum of its proper divisors (78221035080).

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

27424461240 is a wasteful number, since it uses less digits than its factorization.

27424461240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 27424461240 in words is "twenty-seven billion, four hundred twenty-four million, four hundred sixty-one thousand, two hundred forty".