1011074400 has 432 divisors, whose sum is σ = 4231229184. Its totient is φ = 230791680.

The previous prime is 1011074399. The next prime is 1011074401. The reversal of 1011074400 is 44701101.

It is an interprime number because it is at equal distance from previous prime (1011074399) and next prime (1011074401).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011074401) 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 71 ways as a sum of consecutive naturals, for example, 1360429 + ... + 1361171.

It is an arithmetic number, because the mean of its divisors is an integer number (9794512).

Almost surely, 2^1011074400 is an apocalyptic number.

1011074400 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 1011074400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115614592).

1011074400 is an abundant number, since it is smaller than the sum of its proper divisors (3220154784).

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

1011074400 is an equidigital number, since it uses as much as digits as its factorization.

1011074400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1011074400 is about 31797.3961198083. The cubic root of 1011074400 is about 1003.6779229654.

Adding to 1011074400 its reverse (44701101), we get a palindrome (1055775501).

The spelling of 1011074400 in words is "one billion, eleven million, seventy-four thousand, four hundred".