4014400410240 has 128 divisors (see below), whose sum is σ = 13959165136320. Its totient is φ = 973187973120.

The previous prime is 4014400410203. The next prime is 4014400410269. The reversal of 4014400410240 is 420140044104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4014400410240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4014400410240.

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, 95016769 + ... + 95059008.

Almost surely, 2^{4014400410240} is an apocalyptic number.

4014400410240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4014400410240 is an abundant number, since it is smaller than the sum of its proper divisors (9944764726080).

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

4014400410240 is a wasteful number, since it uses less digits than its factorization.

4014400410240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190075810 (or 190075798 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 4014400410240 its reverse (420140044104), we get a palindrome (4434540454344).

The spelling of 4014400410240 in words is "four trillion, fourteen billion, four hundred million, four hundred ten thousand, two hundred forty".