1009786694400 has 1296 divisors, whose sum is σ = 4149948636288. Its totient is φ = 240869376000.

The previous prime is 1009786694369. The next prime is 1009786694401. The reversal of 1009786694400 is 44966879001.

1009786694400 is a `hidden beast` number, since 1 + 0 + 0 + 97 + 8 + 66 + 94 + 400 = 666.

1009786694400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1009786694401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1146181960 + ... + 1146182840.

Almost surely, 2^{1009786694400} is an apocalyptic number.

1009786694400 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 1009786694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074974318144).

1009786694400 is an abundant number, since it is smaller than the sum of its proper divisors (3140161941888).

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

1009786694400 is an equidigital number, since it uses as much as digits as its factorization.

1009786694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1009786694400 in words is "one trillion, nine billion, seven hundred eighty-six million, six hundred ninety-four thousand, four hundred".