4074513408 has 352 divisors, whose sum is σ = 14188166400. Its totient is φ = 1130692608.

The previous prime is 4074513367. The next prime is 4074513431. The reversal of 4074513408 is 8043154704.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7160548 + ... + 7161116.

Almost surely, 2^4074513408 is an apocalyptic number.

4074513408 is a gapful number since it is divisible by the number (48) 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 4074513408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7094083200).

4074513408 is an abundant number, since it is smaller than the sum of its proper divisors (10113652992).

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

4074513408 is a wasteful number, since it uses less digits than its factorization.

4074513408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4074513408 is about 63831.9152775475. The cubic root of 4074513408 is about 1597.1973602898.

The spelling of 4074513408 in words is "four billion, seventy-four million, five hundred thirteen thousand, four hundred eight".