1029802213440 has 3584 divisors, whose sum is σ = 5285483642880. Its totient is φ = 181746892800.

The previous prime is 1029802213397. The next prime is 1029802213459. The reversal of 1029802213440 is 443122089201.

1029802213440 is a `hidden beast` number, since 1 + 0 + 2 + 98 + 0 + 221 + 344 + 0 = 666.

1029802213440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1029802213395 and 1029802213404.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 6166480237 + ... + 6166480403.

It is an arithmetic number, because the mean of its divisors is an integer number (1474744320).

Almost surely, 2^{1029802213440} is an apocalyptic number.

1029802213440 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 1029802213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642741821440).

1029802213440 is an abundant number, since it is smaller than the sum of its proper divisors (4255681429440).

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

1029802213440 is a wasteful number, since it uses less digits than its factorization.

1029802213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1029802213440 in words is "one trillion, twenty-nine billion, eight hundred two million, two hundred thirteen thousand, four hundred forty".