1396204009200 has 3840 divisors, whose sum is σ = 7231217172480. Its totient is φ = 246177792000.

The previous prime is 1396204009199. The next prime is 1396204009201. The reversal of 1396204009200 is 29004026931.

1396204009200 is a `hidden beast` number, since 1 + 3 + 9 + 620 + 4 + 0 + 0 + 9 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1396204009199) and next prime (1396204009201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1396204009201) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 13048635547 + ... + 13048635653.

It is an arithmetic number, because the mean of its divisors is an integer number (1883129472).

Almost surely, 2^{1396204009200} is an apocalyptic number.

1396204009200 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 1396204009200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615608586240).

1396204009200 is an abundant number, since it is smaller than the sum of its proper divisors (5835013163280).

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

1396204009200 is a wasteful number, since it uses less digits than its factorization.

1396204009200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 1396204009200 in words is "one trillion, three hundred ninety-six billion, two hundred four million, nine thousand, two hundred".