1422617475200 has 384 divisors, whose sum is σ = 3649892173200. Its totient is φ = 547546726400.

The previous prime is 1422617475143. The next prime is 1422617475217. The reversal of 1422617475200 is 25747162241.

It can be written as a sum of positive squares in 24 ways, for example, as 461323507264 + 961293967936 = 679208^2 + 980456^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5288540666 + ... + 5288540934.

Almost surely, 2^{1422617475200} is an apocalyptic number.

1422617475200 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 1422617475200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824946086600).

1422617475200 is an abundant number, since it is smaller than the sum of its proper divisors (2227274698000).

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

1422617475200 is a wasteful number, since it uses less digits than its factorization.

1422617475200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 41.

The spelling of 1422617475200 in words is "one trillion, four hundred twenty-two billion, six hundred seventeen million, four hundred seventy-five thousand, two hundred".