415156285440 has 1664 divisors, whose sum is σ = 1733210357760. Its totient is φ = 94595973120.

The previous prime is 415156285399. The next prime is 415156285441. The reversal of 415156285440 is 44582651514.

415156285440 is a `hidden beast` number, since 4 + 1 + 5 + 1 + 562 + 85 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (415156285441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13392138225 + ... + 13392138255.

Almost surely, 2^415156285440 is an apocalyptic number.

415156285440 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 415156285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866605178880).

415156285440 is an abundant number, since it is smaller than the sum of its proper divisors (1318054072320).

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

415156285440 is an equidigital number, since it uses as much as digits as its factorization.

415156285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 415156285440 in words is "four hundred fifteen billion, one hundred fifty-six million, two hundred eighty-five thousand, four hundred forty".