240290885330496 has 672 divisors, whose sum is σ = 955652955075840. Its totient is φ = 57612195717120.

The previous prime is 240290885330479. The next prime is 240290885330497. The reversal of 240290885330496 is 694033588092042.

It is a happy number.

240290885330496 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 9 + 0 + 8 + 8 + 533 + 0 + 4 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (240290885330497) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12712540 + ... + 25341476.

It is an arithmetic number, because the mean of its divisors is an integer number (1422102611720).

Almost surely, 2^{240290885330496} is an apocalyptic number.

240290885330496 is a gapful number since it is divisible by the number (26) 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 240290885330496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477826477537920).

240290885330496 is an abundant number, since it is smaller than the sum of its proper divisors (715362069745344).

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

240290885330496 is a wasteful number, since it uses less digits than its factorization.

240290885330496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12629000 (or 12628973 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 240290885330496 in words is "two hundred forty trillion, two hundred ninety billion, eight hundred eighty-five million, three hundred thirty thousand, four hundred ninety-six".