416025372672 has 1440 divisors, whose sum is σ = 1619578920960. Its totient is φ = 105345515520.

The previous prime is 416025372671. The next prime is 416025372673. The reversal of 416025372672 is 276273520614.

416025372672 is a `hidden beast` number, since 4 + 1 + 602 + 5 + 37 + 2 + 6 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (416025372671) and next prime (416025372673).

It is a super-2 number, since 2×416025372672² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (416025372671) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3275790273 + ... + 3275790399.

It is an arithmetic number, because the mean of its divisors is an integer number (1124707584).

Almost surely, 2^416025372672 is an apocalyptic number.

416025372672 is a gapful number since it is divisible by the number (42) 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 416025372672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809789460480).

416025372672 is an abundant number, since it is smaller than the sum of its proper divisors (1203553548288).

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

416025372672 is a wasteful number, since it uses less digits than its factorization.

416025372672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 416025372672 in words is "four hundred sixteen billion, twenty-five million, three hundred seventy-two thousand, six hundred seventy-two".