1010838400 has 288 divisors, whose sum is σ = 2997386280. Its totient is φ = 332083200.

The previous prime is 1010838391. The next prime is 1010838407. The reversal of 1010838400 is 48380101.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010838407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21507177 + ... + 21507223.

Almost surely, 2^1010838400 is an apocalyptic number.

1010838400 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 1010838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498693140).

1010838400 is an abundant number, since it is smaller than the sum of its proper divisors (1986547880).

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

1010838400 is a wasteful number, since it uses less digits than its factorization.

1010838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 1010838400 is about 31793.6849075410. The cubic root of 1010838400 is about 1003.5998257052.

The spelling of 1010838400 in words is "one billion, ten million, eight hundred thirty-eight thousand, four hundred".