1000839938400 has 216 divisors, whose sum is σ = 3530011408560. Its totient is φ = 266830187520.

The previous prime is 1000839938387. The next prime is 1000839938407. The reversal of 1000839938400 is 48399380001.

1000839938400 is a `hidden beast` number, since 100 + 0 + 83 + 99 + 384 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000839938407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38211709 + ... + 38237891.

It is an arithmetic number, because the mean of its divisors is an integer number (16342645410).

Almost surely, 2^{1000839938400} is an apocalyptic number.

1000839938400 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 1000839938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765005704280).

1000839938400 is an abundant number, since it is smaller than the sum of its proper divisors (2529171470160).

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

1000839938400 is a wasteful number, since it uses less digits than its factorization.

1000839938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31518 (or 31502 counting only the distinct ones).

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

The spelling of 1000839938400 in words is "one trillion, eight hundred thirty-nine million, nine hundred thirty-eight thousand, four hundred".