1010354400 has 216 divisors, whose sum is σ = 3886954344. Its totient is φ = 244915200.

The previous prime is 1010354381. The next prime is 1010354413. The reversal of 1010354400 is 44530101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72822 + ... + 85578.

It is an arithmetic number, because the mean of its divisors is an integer number (17995159).

Almost surely, 2^1010354400 is an apocalyptic number.

1010354400 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 1010354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943477172).

1010354400 is an abundant number, since it is smaller than the sum of its proper divisors (2876599944).

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

1010354400 is a wasteful number, since it uses less digits than its factorization.

1010354400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12794 (or 12778 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 1010354400 is about 31786.0724217384. The cubic root of 1010354400 is about 1003.4396221017.

Adding to 1010354400 its reverse (44530101), we get a palindrome (1054884501).

The spelling of 1010354400 in words is "one billion, ten million, three hundred fifty-four thousand, four hundred".