1407878780400 has 90 divisors (see below), whose sum is σ = 4885730457920. Its totient is φ = 375434340480.

The previous prime is 1407878780393. The next prime is 1407878780423. The reversal of 1407878780400 is 40878787041.

1407878780400 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 87 + 87 + 80 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 195535120 + ... + 195542319.

Almost surely, 2^{1407878780400} is an apocalyptic number.

1407878780400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1407878780400 is an abundant number, since it is smaller than the sum of its proper divisors (3477851677520).

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

1407878780400 is a wasteful number, since it uses less digits than its factorization.

1407878780400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391077463 (or 391077449 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 1407878780400 in words is "one trillion, four hundred seven billion, eight hundred seventy-eight million, seven hundred eighty thousand, four hundred".