1005928701400 has 192 divisors, whose sum is σ = 2839800830400. Its totient is φ = 323996682240.

The previous prime is 1005928701391. The next prime is 1005928701403. The reversal of 1005928701400 is 41078295001.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1005928701400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005928701403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1167382 + ... + 1837018.

It is an arithmetic number, because the mean of its divisors is an integer number (14790629325).

Almost surely, 2^{1005928701400} is an apocalyptic number.

1005928701400 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 1005928701400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1419900415200).

1005928701400 is an abundant number, since it is smaller than the sum of its proper divisors (1833872129000).

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

1005928701400 is a wasteful number, since it uses less digits than its factorization.

1005928701400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669726 (or 669717 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The spelling of 1005928701400 in words is "one trillion, five billion, nine hundred twenty-eight million, seven hundred one thousand, four hundred".