1009229126400 has 1296 divisors, whose sum is σ = 4266668165760. Its totient is φ = 224811417600.

The previous prime is 1009229126371. The next prime is 1009229126413. The reversal of 1009229126400 is 46219229001.

1009229126400 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 2 + 9 + 1 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 463160511 + ... + 463162689.

Almost surely, 2^{1009229126400} is an apocalyptic number.

1009229126400 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 1009229126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133334082880).

1009229126400 is an abundant number, since it is smaller than the sum of its proper divisors (3257439039360).

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

1009229126400 is a wasteful number, since it uses less digits than its factorization.

1009229126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 1009229126400 in words is "one trillion, nine billion, two hundred twenty-nine million, one hundred twenty-six thousand, four hundred".