1011214400 has 336 divisors, whose sum is σ = 3102230016. Its totient is φ = 316538880.

The previous prime is 1011214397. The next prime is 1011214433. The reversal of 1011214400 is 44121101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8948744 + ... + 8948856.

Almost surely, 2^1011214400 is an apocalyptic number.

1011214400 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 1011214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551115008).

1011214400 is an abundant number, since it is smaller than the sum of its proper divisors (2091015616).

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

1011214400 is a wasteful number, since it uses less digits than its factorization.

1011214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 1011214400 is about 31799.5974817292. The cubic root of 1011214400 is about 1003.7242461058.

Adding to 1011214400 its reverse (44121101), we get a palindrome (1055335501).

The spelling of 1011214400 in words is "one billion, eleven million, two hundred fourteen thousand, four hundred".