1389136694400 has 3072 divisors, whose sum is σ = 6986552832000. Its totient is φ = 260855562240.

The previous prime is 1389136694389. The next prime is 1389136694423. The reversal of 1389136694400 is 44966319831.

1389136694400 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 136 + 69 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2539554927 + ... + 2539555473.

It is an arithmetic number, because the mean of its divisors is an integer number (2274268500).

Almost surely, 2^{1389136694400} is an apocalyptic number.

1389136694400 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 1389136694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3493276416000).

1389136694400 is an abundant number, since it is smaller than the sum of its proper divisors (5597416137600).

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

1389136694400 is a wasteful number, since it uses less digits than its factorization.

1389136694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 1389136694400 in words is "one trillion, three hundred eighty-nine billion, one hundred thirty-six million, six hundred ninety-four thousand, four hundred".