1420122710400 has 192 divisors, whose sum is σ = 4711676089680. Its totient is φ = 375934812160.

The previous prime is 1420122710389. The next prime is 1420122710417. The reversal of 1420122710400 is 40172210241.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775312 + ... + 1855088.

Almost surely, 2^{1420122710400} is an apocalyptic number.

1420122710400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420122710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2355838044840).

1420122710400 is an abundant number, since it is smaller than the sum of its proper divisors (3291553379280).

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

1420122710400 is a wasteful number, since it uses less digits than its factorization.

1420122710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079941 (or 1079924 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

Adding to 1420122710400 its reverse (40172210241), we get a palindrome (1460294920641).

The spelling of 1420122710400 in words is "one trillion, four hundred twenty billion, one hundred twenty-two million, seven hundred ten thousand, four hundred".