1390135219200 has 2640 divisors, whose sum is σ = 6501367635840. Its totient is φ = 285698949120.

The previous prime is 1390135219171. The next prime is 1390135219223. The reversal of 1390135219200 is 29125310931.

1390135219200 is a `hidden beast` number, since 1 + 3 + 90 + 1 + 352 + 19 + 200 = 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 polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10000972731 + ... + 10000972869.

It is an arithmetic number, because the mean of its divisors is an integer number (2462639256).

Almost surely, 2^{1390135219200} is an apocalyptic number.

1390135219200 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 1390135219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3250683817920).

1390135219200 is an abundant number, since it is smaller than the sum of its proper divisors (5111232416640).

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

1390135219200 is a wasteful number, since it uses less digits than its factorization.

1390135219200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 1390135219200 in words is "one trillion, three hundred ninety billion, one hundred thirty-five million, two hundred nineteen thousand, two hundred".