1422737164800 has 1440 divisors, whose sum is σ = 6155143188480. Its totient is φ = 306804326400.

The previous prime is 1422737164799. The next prime is 1422737164801. The reversal of 1422737164800 is 84617372241.

1422737164800 is a `hidden beast` number, since 14 + 22 + 73 + 71 + 6 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1422737164799) and next prime (1422737164801).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1422737164801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1465228315 + ... + 1465229285.

It is an arithmetic number, because the mean of its divisors is an integer number (4274404992).

Almost surely, 2^{1422737164800} is an apocalyptic number.

1422737164800 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 1422737164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3077571594240).

1422737164800 is an abundant number, since it is smaller than the sum of its proper divisors (4732406023680).

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

1422737164800 is a wasteful number, since it uses less digits than its factorization.

1422737164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

It can be divided in two parts, 1422 and 737164800, that multiplied together give a square (1048248345600 = 1023840²).

The spelling of 1422737164800 in words is "one trillion, four hundred twenty-two billion, seven hundred thirty-seven million, one hundred sixty-four thousand, eight hundred".