415284956640 has 384 divisors, whose sum is σ = 1526926464000. Its totient is φ = 105213081600.

The previous prime is 415284956587. The next prime is 415284956683. The reversal of 415284956640 is 46659482514.

It is a happy number.

415284956640 is a `hidden beast` number, since 4 + 1 + 52 + 8 + 495 + 66 + 40 = 666.

It is a super-2 number, since 2×415284956640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14790615 + ... + 14818665.

It is an arithmetic number, because the mean of its divisors is an integer number (3976371000).

Almost surely, 2^415284956640 is an apocalyptic number.

415284956640 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 415284956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763463232000).

415284956640 is an abundant number, since it is smaller than the sum of its proper divisors (1111641507360).

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

415284956640 is a wasteful number, since it uses less digits than its factorization.

415284956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28247 (or 28233 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 415284956640 in words is "four hundred fifteen billion, two hundred eighty-four million, nine hundred fifty-six thousand, six hundred forty".