840048000400 has 60 divisors (see below), whose sum is σ = 2306531803072. Its totient is φ = 288016456320.

The previous prime is 840048000397. The next prime is 840048000479. The reversal of 840048000400 is 4000840048.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 150005772 + ... + 150011371.

Almost surely, 2^840048000400 is an apocalyptic number.

840048000400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

840048000400 is an abundant number, since it is smaller than the sum of its proper divisors (1466483802672).

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

840048000400 is a wasteful number, since it uses less digits than its factorization.

840048000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300017168 (or 300017157 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 840048000400 its reverse (4000840048), we get a palindrome (844048840448).

The spelling of 840048000400 in words is "eight hundred forty billion, forty-eight million, four hundred", and thus it is an aban number.