1350036770400 has 216 divisors, whose sum is σ = 4827619231344. Its totient is φ = 354939110400.

The previous prime is 1350036770371. The next prime is 1350036770443. The reversal of 1350036770400 is 40776300531.

1350036770400 is a `hidden beast` number, since 13 + 500 + 36 + 7 + 70 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 809259 + ... + 1831658.

It is an arithmetic number, because the mean of its divisors is an integer number (22350089034).

Almost surely, 2^{1350036770400} is an apocalyptic number.

1350036770400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1350036770400 is an abundant number, since it is smaller than the sum of its proper divisors (3477582460944).

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

1350036770400 is a wasteful number, since it uses less digits than its factorization.

1350036770400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2641014 (or 2640998 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 1350036770400 in words is "one trillion, three hundred fifty billion, thirty-six million, seven hundred seventy thousand, four hundred".