1356401200 has 240 divisors, whose sum is σ = 4153734144. Its totient is φ = 413337600.

The previous prime is 1356401183. The next prime is 1356401213. The reversal of 1356401200 is 21046531.

It is a super-2 number, since 2×1356401200² = 3679648430722880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1447132 + ... + 1448068.

Almost surely, 2^1356401200 is an apocalyptic number.

1356401200 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 1356401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2076867072).

1356401200 is an abundant number, since it is smaller than the sum of its proper divisors (2797332944).

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

1356401200 is a wasteful number, since it uses less digits than its factorization.

1356401200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 1356401200 is about 36829.3524243911. The cubic root of 1356401200 is about 1106.9535271909.

Adding to 1356401200 its reverse (21046531), we get a palindrome (1377447731).

The spelling of 1356401200 in words is "one billion, three hundred fifty-six million, four hundred one thousand, two hundred".