1422153610416 has 240 divisors, whose sum is σ = 5011280471808. Its totient is φ = 365732928000.

The previous prime is 1422153610373. The next prime is 1422153610463. The reversal of 1422153610416 is 6140163512241.

1422153610416 is a `hidden beast` number, since 1 + 4 + 2 + 2 + 1 + 536 + 104 + 16 = 666.

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

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 47 ways as a sum of consecutive naturals, for example, 484935 + ... + 1754841.

Almost surely, 2^{1422153610416} is an apocalyptic number.

1422153610416 is a gapful number since it is divisible by the number (16) 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 1422153610416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505640235904).

1422153610416 is an abundant number, since it is smaller than the sum of its proper divisors (3589126861392).

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

1422153610416 is a wasteful number, since it uses less digits than its factorization.

1422153610416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270040 (or 1270031 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1422153610416 in words is "one trillion, four hundred twenty-two billion, one hundred fifty-three million, six hundred ten thousand, four hundred sixteen".