1034009432064 has 1248 divisors, whose sum is σ = 3812534369280. Its totient is φ = 273468358656.

The previous prime is 1034009432023. The next prime is 1034009432081. The reversal of 1034009432064 is 4602349004301.

It is a happy number.

1034009432064 is a `hidden beast` number, since 1 + 0 + 3 + 400 + 9 + 43 + 206 + 4 = 666.

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 95 ways as a sum of consecutive naturals, for example, 9663639499 + ... + 9663639605.

It is an arithmetic number, because the mean of its divisors is an integer number (3054915360).

Almost surely, 2^{1034009432064} is an apocalyptic number.

1034009432064 is a gapful number since it is divisible by the number (14) 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 1034009432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1906267184640).

1034009432064 is an abundant number, since it is smaller than the sum of its proper divisors (2778524937216).

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

1034009432064 is an equidigital number, since it uses as much as digits as its factorization.

1034009432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 1034009432064 in words is "one trillion, thirty-four billion, nine million, four hundred thirty-two thousand, sixty-four".