1006401075200 has 72 divisors (see below), whose sum is σ = 2495265449040. Its totient is φ = 402560409600.

The previous prime is 1006401075191. The next prime is 1006401075221. The reversal of 1006401075200 is 25701046001.

It is a self number, because there is not a number n which added to its sum of digits gives 1006401075200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9776936 + ... + 9879335.

It is an arithmetic number, because the mean of its divisors is an integer number (34656464570).

Almost surely, 2^{1006401075200} is an apocalyptic number.

1006401075200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006401075200 is an abundant number, since it is smaller than the sum of its proper divisors (1488864373840).

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

1006401075200 is an equidigital number, since it uses as much as digits as its factorization.

1006401075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19656303 (or 19656278 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The spelling of 1006401075200 in words is "one trillion, six billion, four hundred one million, seventy-five thousand, two hundred".