240827399472 has 320 divisors, whose sum is σ = 762465484800. Its totient is φ = 64551997440.

The previous prime is 240827399443. The next prime is 240827399503. The reversal of 240827399472 is 274993728042.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21653529 + ... + 21664647.

It is an arithmetic number, because the mean of its divisors is an integer number (2382704640).

Almost surely, 2^240827399472 is an apocalyptic number.

240827399472 is a gapful number since it is divisible by the number (22) 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 240827399472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381232742400).

240827399472 is an abundant number, since it is smaller than the sum of its proper divisors (521638085328).

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

240827399472 is a wasteful number, since it uses less digits than its factorization.

240827399472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11298 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

It can be divided in two parts, 24082739 and 9472, that added together give a triangular number (24092211 = T₆₉₄₁).

The spelling of 240827399472 in words is "two hundred forty billion, eight hundred twenty-seven million, three hundred ninety-nine thousand, four hundred seventy-two".