4074065424 has 600 divisors, whose sum is σ = 14826952800. Its totient is φ = 1067489280.

The previous prime is 4074065407. The next prime is 4074065431. The reversal of 4074065424 is 4245604704.

4074065424 is a `hidden beast` number, since 40 + 74 + 0 + 6 + 542 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 45775972 + ... + 45776060.

It is an arithmetic number, because the mean of its divisors is an integer number (24711588).

Almost surely, 2^4074065424 is an apocalyptic number.

4074065424 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 4074065424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7413476400).

4074065424 is an abundant number, since it is smaller than the sum of its proper divisors (10752887376).

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

4074065424 is a wasteful number, since it uses less digits than its factorization.

4074065424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 4074065424 is about 63828.4060900787. The cubic root of 4074065424 is about 1597.1388220043.

The spelling of 4074065424 in words is "four billion, seventy-four million, sixty-five thousand, four hundred twenty-four".