1349290051200 has 2304 divisors, whose sum is σ = 6273448473600. Its totient is φ = 277159034880.

The previous prime is 1349290051171. The next prime is 1349290051211. The reversal of 1349290051200 is 21500929431.

1349290051200 is a `hidden beast` number, since 1 + 349 + 290 + 0 + 5 + 1 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4395081447 + ... + 4395081753.

It is an arithmetic number, because the mean of its divisors is an integer number (2722850900).

Almost surely, 2^{1349290051200} is an apocalyptic number.

1349290051200 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 1349290051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136724236800).

1349290051200 is an abundant number, since it is smaller than the sum of its proper divisors (4924158422400).

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

1349290051200 is a wasteful number, since it uses less digits than its factorization.

1349290051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1349290051200 in words is "one trillion, three hundred forty-nine billion, two hundred ninety million, fifty-one thousand, two hundred".