1442416712400 has 120 divisors (see below), whose sum is σ = 5133935077760. Its totient is φ = 384644453760.

The previous prime is 1442416712329. The next prime is 1442416712413. The reversal of 1442416712400 is 42176142441.

1442416712400 is a `hidden beast` number, since 1 + 4 + 4 + 241 + 6 + 7 + 1 + 2 + 400 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66767752 + ... + 66789351.

Almost surely, 2^{1442416712400} is an apocalyptic number.

1442416712400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442416712400 is an abundant number, since it is smaller than the sum of its proper divisors (3691518365360).

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

1442416712400 is a wasteful number, since it uses less digits than its factorization.

1442416712400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133557130 (or 133557113 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 1442416712400 in words is "one trillion, four hundred forty-two billion, four hundred sixteen million, seven hundred twelve thousand, four hundred".