416225276544 has 512 divisors, whose sum is σ = 1440279429120. Its totient is φ = 103343616000.

The previous prime is 416225276543. The next prime is 416225276639. The reversal of 416225276544 is 445672522614.

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

It is a junction number, because it is equal to n+sod(n) for n = 416225276493 and 416225276502.

It is not an unprimeable number, because it can be changed into a prime (416225276543) 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 63 ways as a sum of consecutive naturals, for example, 76075729 + ... + 76081199.

It is an arithmetic number, because the mean of its divisors is an integer number (2813045760).

Almost surely, 2^416225276544 is an apocalyptic number.

416225276544 is a gapful number since it is divisible by the number (44) 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 416225276544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720139714560).

416225276544 is an abundant number, since it is smaller than the sum of its proper divisors (1024054152576).

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

416225276544 is a wasteful number, since it uses less digits than its factorization.

416225276544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5620 (or 5608 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 48.

The spelling of 416225276544 in words is "four hundred sixteen billion, two hundred twenty-five million, two hundred seventy-six thousand, five hundred forty-four".