4074260400 has 360 divisors, whose sum is σ = 16320455424. Its totient is φ = 921945600.

The previous prime is 4074260387. The next prime is 4074260417. The reversal of 4074260400 is 40624704.

4074260400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2695645 + ... + 2697155.

Almost surely, 2^4074260400 is an apocalyptic number.

4074260400 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 4074260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160227712).

4074260400 is an abundant number, since it is smaller than the sum of its proper divisors (12246195024).

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

4074260400 is a wasteful number, since it uses less digits than its factorization.

4074260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4074260400 is about 63829.9334168539. The cubic root of 4074260400 is about 1597.1643001397.

The spelling of 4074260400 in words is "four billion, seventy-four million, two hundred sixty thousand, four hundred".