1362422400 has 192 divisors, whose sum is σ = 4524189600. Its totient is φ = 360345600.

The previous prime is 1362422389. The next prime is 1362422423. The reversal of 1362422400 is 42242631.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1333890 + ... + 1334910.

Almost surely, 2^1362422400 is an apocalyptic number.

1362422400 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 1362422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262094800).

1362422400 is an abundant number, since it is smaller than the sum of its proper divisors (3161767200).

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

1362422400 is a wasteful number, since it uses less digits than its factorization.

1362422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1362422400 is about 36911.0064885801. The cubic root of 1362422400 is about 1108.5890684428.

The spelling of 1362422400 in words is "one billion, three hundred sixty-two million, four hundred twenty-two thousand, four hundred".