1364777640400 has 120 divisors (see below), whose sum is σ = 3300056532864. Its totient is φ = 542388134400.

The previous prime is 1364777640389. The next prime is 1364777640403. The reversal of 1364777640400 is 40467774631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364777640403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215159629 + ... + 215165971.

Almost surely, 2^{1364777640400} is an apocalyptic number.

1364777640400 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 1364777640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650028266432).

1364777640400 is an abundant number, since it is smaller than the sum of its proper divisors (1935278892464).

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

1364777640400 is a wasteful number, since it uses less digits than its factorization.

1364777640400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9749 (or 9738 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 49.

The spelling of 1364777640400 in words is "one trillion, three hundred sixty-four billion, seven hundred seventy-seven million, six hundred forty thousand, four hundred".