1000879287408 has 720 divisors, whose sum is σ = 3988931914240. Its totient is φ = 227334159360.

The previous prime is 1000879287391. The next prime is 1000879287469. The reversal of 1000879287408 is 8047829780001.

It is a happy number.

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, 30109485 + ... + 30142707.

Almost surely, 2^{1000879287408} is an apocalyptic number.

1000879287408 is a gapful number since it is divisible by the number (18) 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 1000879287408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994465957120).

1000879287408 is an abundant number, since it is smaller than the sum of its proper divisors (2988052626832).

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

1000879287408 is a wasteful number, since it uses less digits than its factorization.

1000879287408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33298 (or 33278 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 1000879287408 in words is "one trillion, eight hundred seventy-nine million, two hundred eighty-seven thousand, four hundred eight".