10042838400 has 768 divisors, whose sum is σ = 40979520000. Its totient is φ = 2109603840.

The previous prime is 10042838389. The next prime is 10042838431. The reversal of 10042838400 is 483824001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67401526 + ... + 67401674.

It is an arithmetic number, because the mean of its divisors is an integer number (53358750).

Almost surely, 2^10042838400 is an apocalyptic number.

10042838400 is a gapful number since it is divisible by the number (10) 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 10042838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760000).

10042838400 is an abundant number, since it is smaller than the sum of its proper divisors (30936681600).

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

10042838400 is a wasteful number, since it uses less digits than its factorization.

10042838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The spelling of 10042838400 in words is "ten billion, forty-two million, eight hundred thirty-eight thousand, four hundred".