415507083456 has 224 divisors, whose sum is σ = 1152144000000. Its totient is φ = 131989516288.

The previous prime is 415507083451. The next prime is 415507083479. The reversal of 415507083456 is 654380705514.

It is a super-2 number, since 2×415507083456² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (415507083451) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 138547045 + ... + 138550043.

It is an arithmetic number, because the mean of its divisors is an integer number (5143500000).

Almost surely, 2^415507083456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415507083456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576072000000).

415507083456 is an abundant number, since it is smaller than the sum of its proper divisors (736636916544).

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

415507083456 is a wasteful number, since it uses less digits than its factorization.

415507083456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3349 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 415507083456 in words is "four hundred fifteen billion, five hundred seven million, eighty-three thousand, four hundred fifty-six".