1004066979840 has 1680 divisors, whose sum is σ = 4084552821888. Its totient is φ = 235438866432.

The previous prime is 1004066979821. The next prime is 1004066979847. The reversal of 1004066979840 is 489796604001.

1004066979840 is a `hidden beast` number, since 100 + 406 + 6 + 9 + 7 + 98 + 40 = 666.

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 (1004066979847) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23350394859 + ... + 23350394901.

Almost surely, 2^{1004066979840} is an apocalyptic number.

1004066979840 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 1004066979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2042276410944).

1004066979840 is an abundant number, since it is smaller than the sum of its proper divisors (3080485842048).

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

1004066979840 is an frugal number, since it uses more digits than its factorization.

1004066979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

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

The spelling of 1004066979840 in words is "one trillion, four billion, sixty-six million, nine hundred seventy-nine thousand, eight hundred forty".