414401152440 has 128 divisors (see below), whose sum is σ = 1358210592000. Its totient is φ = 100313579520.

The previous prime is 414401152393. The next prime is 414401152447. The reversal of 414401152440 is 44251104414.

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 = 414401152398 and 414401152407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414401152447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671736 + ... + 1131384.

It is an arithmetic number, because the mean of its divisors is an integer number (10611020250).

Almost surely, 2^414401152440 is an apocalyptic number.

414401152440 is a gapful number since it is divisible by the number (40) 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 414401152440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679105296000).

414401152440 is an abundant number, since it is smaller than the sum of its proper divisors (943809439560).

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

414401152440 is a wasteful number, since it uses less digits than its factorization.

414401152440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460357 (or 460353 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 414401152440 its reverse (44251104414), we get a palindrome (458652256854).

The spelling of 414401152440 in words is "four hundred fourteen billion, four hundred one million, one hundred fifty-two thousand, four hundred forty".