240413702400 has 567 divisors, whose sum is σ = 896131722241. Its totient is φ = 63827896320.

The previous prime is 240413702377. The next prime is 240413702411. The reversal of 240413702400 is 4207314042.

The square root of 240413702400 is 490320.

It is a perfect power (a square), and thus also a powerful number.

240413702400 is a `hidden beast` number, since 2 + 4 + 0 + 413 + 7 + 0 + 240 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 86548932864 + 153864769536 = 294192^2 + 392256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1059091087 + ... + 1059091313.

Almost surely, 2^240413702400 is an apocalyptic number.

240413702400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240413702400 is the 490320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240413702400

240413702400 is an abundant number, since it is smaller than the sum of its proper divisors (655718019841).

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

240413702400 is an frugal number, since it uses more digits than its factorization.

240413702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

It can be divided in two parts, 2404 and 13702400, that added together give a square (13704804 = 3702²).

The spelling of 240413702400 in words is "two hundred forty billion, four hundred thirteen million, seven hundred two thousand, four hundred".