1010426400 has 360 divisors, whose sum is σ = 3811256064. Its totient is φ = 260236800.

The previous prime is 1010426393. The next prime is 1010426401. The reversal of 1010426400 is 46240101.

1010426400 is a `hidden beast` number, since 10 + 10 + 4 + 2 + 640 + 0 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (1010426401) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2008549 + ... + 2009051.

Almost surely, 2^1010426400 is an apocalyptic number.

1010426400 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 1010426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905628032).

1010426400 is an abundant number, since it is smaller than the sum of its proper divisors (2800829664).

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

1010426400 is a wasteful number, since it uses less digits than its factorization.

1010426400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1010426400 is about 31787.2049730705. The cubic root of 1010426400 is about 1003.4634572816.

Adding to 1010426400 its reverse (46240101), we get a palindrome (1056666501).

The spelling of 1010426400 in words is "one billion, ten million, four hundred twenty-six thousand, four hundred".