20240414401440 has 96 divisors (see below), whose sum is σ = 63762428511936. Its totient is φ = 5397010135040.

The previous prime is 20240414401411. The next prime is 20240414401453. The reversal of 20240414401440 is 4410441404202.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 20240414401398 and 20240414401407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4307764 + ... + 7683596.

It is an arithmetic number, because the mean of its divisors is an integer number (664191963666).

Almost surely, 2^{20240414401440} is an apocalyptic number.

20240414401440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20240414401440 is an abundant number, since it is smaller than the sum of its proper divisors (43522014110496).

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

20240414401440 is a wasteful number, since it uses less digits than its factorization.

20240414401440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3388342 (or 3388334 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 20240414401440 its reverse (4410441404202), we get a palindrome (24650855805642).

The spelling of 20240414401440 in words is "twenty trillion, two hundred forty billion, four hundred fourteen million, four hundred one thousand, four hundred forty".