4074940800 has 1152 divisors, whose sum is σ = 18645681600. Its totient is φ = 825753600.

The previous prime is 4074940777. The next prime is 4074940801. The reversal of 4074940800 is 80494704.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4074940801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99388780 + ... + 99388820.

Almost surely, 2^4074940800 is an apocalyptic number.

4074940800 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 4074940800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9322840800).

4074940800 is an abundant number, since it is smaller than the sum of its proper divisors (14570740800).

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

4074940800 is a wasteful number, since it uses less digits than its factorization.

4074940800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4074940800 is about 63835.2629821480. The cubic root of 4074940800 is about 1597.2532038093.

The spelling of 4074940800 in words is "four billion, seventy-four million, nine hundred forty thousand, eight hundred".