1004293101600 has 1152 divisors, whose sum is σ = 3980625223680. Its totient is φ = 243337789440.

The previous prime is 1004293101599. The next prime is 1004293101607. The reversal of 1004293101600 is 61013924001.

1004293101600 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 29 + 31 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1004293101607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2622175009 + ... + 2622175391.

It is an arithmetic number, because the mean of its divisors is an integer number (3455403840).

Almost surely, 2^{1004293101600} is an apocalyptic number.

1004293101600 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 1004293101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990312611840).

1004293101600 is an abundant number, since it is smaller than the sum of its proper divisors (2976332122080).

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

1004293101600 is a wasteful number, since it uses less digits than its factorization.

1004293101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 1004293101600 in words is "one trillion, four billion, two hundred ninety-three million, one hundred one thousand, six hundred".