4038828998400 has 3240 divisors, whose sum is σ = 18795421016064. Its totient is φ = 850706841600.

The previous prime is 4038828998383. The next prime is 4038828998417. The reversal of 4038828998400 is 48998288304.

4038828998400 is a `hidden beast` number, since 40 + 3 + 88 + 28 + 9 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (4038828998383) and next prime (4038828998417).

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 18111340689 + ... + 18111340911.

Almost surely, 2^{4038828998400} is an apocalyptic number.

4038828998400 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 4038828998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9397710508032).

4038828998400 is an abundant number, since it is smaller than the sum of its proper divisors (14756592017664).

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

4038828998400 is a wasteful number, since it uses less digits than its factorization.

4038828998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 4038828998400 in words is "four trillion, thirty-eight billion, eight hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".