1002413913984 has 864 divisors, whose sum is σ = 3649937920200. Its totient is φ = 263103676416.

The previous prime is 1002413913953. The next prime is 1002413914057. The reversal of 1002413913984 is 4893193142001.

1002413913984 is a `hidden beast` number, since 10 + 0 + 241 + 3 + 9 + 1 + 398 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 701478582 + ... + 701480010.

Almost surely, 2^{1002413913984} is an apocalyptic number.

1002413913984 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 1002413913984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824968960100).

1002413913984 is an abundant number, since it is smaller than the sum of its proper divisors (2647524006216).

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

1002413913984 is a wasteful number, since it uses less digits than its factorization.

1002413913984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 1002413913984 in words is "one trillion, two billion, four hundred thirteen million, nine hundred thirteen thousand, nine hundred eighty-four".