1048286000400 has 120 divisors (see below), whose sum is σ = 3413059062144. Its totient is φ = 274960243200.

The previous prime is 1048286000383. The next prime is 1048286000407. The reversal of 1048286000400 is 40006828401.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (1048286000407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7087224 + ... + 7233623.

Almost surely, 2^{1048286000400} is an apocalyptic number.

1048286000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1048286000400 is an abundant number, since it is smaller than the sum of its proper divisors (2364773061744).

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

1048286000400 is a wasteful number, since it uses less digits than its factorization.

1048286000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14320929 (or 14320918 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 1048286000400 in words is "one trillion, forty-eight billion, two hundred eighty-six million, four hundred", and thus it is an aban number.