27240824840040 has 512 divisors, whose sum is σ = 109336061952000. Its totient is φ = 5893382873088.

The previous prime is 27240824839997. The next prime is 27240824840069. The reversal of 27240824840040 is 4004842804272.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 158348952 + ... + 158520888.

It is an arithmetic number, because the mean of its divisors is an integer number (213546996000).

Almost surely, 2^{27240824840040} is an apocalyptic number.

27240824840040 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 27240824840040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54668030976000).

27240824840040 is an abundant number, since it is smaller than the sum of its proper divisors (82095237111960).

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

27240824840040 is a wasteful number, since it uses less digits than its factorization.

27240824840040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173086 (or 173076 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 45.

The spelling of 27240824840040 in words is "twenty-seven trillion, two hundred forty billion, eight hundred twenty-four million, eight hundred forty thousand, forty".