240120500400 has 180 divisors, whose sum is σ = 909038153400. Its totient is φ = 58211020800.

The previous prime is 240120500381. The next prime is 240120500413. The reversal of 240120500400 is 4005021042.

240120500400 is a `hidden beast` number, since 2 + 4 + 0 + 120 + 500 + 40 + 0 = 666.

240120500400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2992225 + ... + 3071424.

Almost surely, 2^240120500400 is an apocalyptic number.

240120500400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240120500400 is an abundant number, since it is smaller than the sum of its proper divisors (668917653000).

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

240120500400 is a wasteful number, since it uses less digits than its factorization.

240120500400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063684 (or 6063670 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 240120500400 its reverse (4005021042), we get a palindrome (244125521442).

The spelling of 240120500400 in words is "two hundred forty billion, one hundred twenty million, five hundred thousand, four hundred".