4081674240 has 960 divisors, whose sum is σ = 18075657600. Its totient is φ = 859963392.

The previous prime is 4081674229. The next prime is 4081674269. The reversal of 4081674240 is 424761804.

4081674240 is a `hidden beast` number, since 408 + 1 + 6 + 7 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4081674195 and 4081674204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110315502 + ... + 110315538.

It is an arithmetic number, because the mean of its divisors is an integer number (18828810).

Almost surely, 2^4081674240 is an apocalyptic number.

4081674240 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 4081674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9037828800).

4081674240 is an abundant number, since it is smaller than the sum of its proper divisors (13993983360).

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

4081674240 is a wasteful number, since it uses less digits than its factorization.

4081674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4081674240 is about 63887.9819684422. The cubic root of 4081674240 is about 1598.1324877635.

The spelling of 4081674240 in words is "four billion, eighty-one million, six hundred seventy-four thousand, two hundred forty".