415709226240 has 1944 divisors, whose sum is σ = 1846451406240. Its totient is φ = 79194931200.

The previous prime is 415709226227. The next prime is 415709226253. The reversal of 415709226240 is 42622907514.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (415709226227) and next prime (415709226253).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 415709226192 and 415709226201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 13409975025 + ... + 13409975055.

Almost surely, 2^415709226240 is an apocalyptic number.

415709226240 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 415709226240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923225703120).

415709226240 is an abundant number, since it is smaller than the sum of its proper divisors (1430742180000).

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

415709226240 is a wasteful number, since it uses less digits than its factorization.

415709226240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 415709226240 in words is "four hundred fifteen billion, seven hundred nine million, two hundred twenty-six thousand, two hundred forty".