1009291046400 has 1440 divisors, whose sum is σ = 4550922055680. Its totient is φ = 207904112640.

The previous prime is 1009291046383. The next prime is 1009291046419. The reversal of 1009291046400 is 46401929001.

It is a happy number.

1009291046400 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 2 + 9 + 1 + 0 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

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, 450776481 + ... + 450778719.

Almost surely, 2^{1009291046400} is an apocalyptic number.

1009291046400 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 1009291046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2275461027840).

1009291046400 is an abundant number, since it is smaller than the sum of its proper divisors (3541631009280).

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

1009291046400 is a wasteful number, since it uses less digits than its factorization.

1009291046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2312 counting only the distinct ones).

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

The spelling of 1009291046400 in words is "one trillion, nine billion, two hundred ninety-one million, forty-six thousand, four hundred".