415045456440 has 128 divisors (see below), whose sum is σ = 1252437120000. Its totient is φ = 110030773248.

The previous prime is 415045456409. The next prime is 415045456487. The reversal of 415045456440 is 44654540514.

It is a happy number.

It is a super-2 number, since 2×415045456440² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 415045456392 and 415045456401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31491132 + ... + 31504308.

It is an arithmetic number, because the mean of its divisors is an integer number (9784665000).

Almost surely, 2^415045456440 is an apocalyptic number.

415045456440 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 415045456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626218560000).

415045456440 is an abundant number, since it is smaller than the sum of its proper divisors (837391663560).

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

415045456440 is a wasteful number, since it uses less digits than its factorization.

415045456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14709 (or 14705 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

Adding to 415045456440 its reverse (44654540514), we get a palindrome (459699996954).

The spelling of 415045456440 in words is "four hundred fifteen billion, forty-five million, four hundred fifty-six thousand, four hundred forty".