1029839090400 has 432 divisors, whose sum is σ = 3687530857920. Its totient is φ = 270397440000.

The previous prime is 1029839090393. The next prime is 1029839090411. The reversal of 1029839090400 is 40909389201.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 394724296 + ... + 394726904.

It is an arithmetic number, because the mean of its divisors is an integer number (8535951060).

Almost surely, 2^{1029839090400} is an apocalyptic number.

1029839090400 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 1029839090400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843765428960).

1029839090400 is an abundant number, since it is smaller than the sum of its proper divisors (2657691767520).

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

1029839090400 is a wasteful number, since it uses less digits than its factorization.

1029839090400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3459 (or 3443 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1029839090400 in words is "one trillion, twenty-nine billion, eight hundred thirty-nine million, ninety thousand, four hundred".