240897380669400 has 768 divisors, whose sum is σ = 948924224962560. Its totient is φ = 49178878617600.

The previous prime is 240897380669399. The next prime is 240897380669557. The reversal of 240897380669400 is 4966083798042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19510594027 + ... + 19510606373.

It is an arithmetic number, because the mean of its divisors is an integer number (1235578417920).

Almost surely, 2^{240897380669400} is an apocalyptic number.

240897380669400 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 240897380669400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474462112481280).

240897380669400 is an abundant number, since it is smaller than the sum of its proper divisors (708026844293160).

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

240897380669400 is a wasteful number, since it uses less digits than its factorization.

240897380669400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23944 (or 23935 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 240897380669400 in words is "two hundred forty trillion, eight hundred ninety-seven billion, three hundred eighty million, six hundred sixty-nine thousand, four hundred".