1378833524640 has 1536 divisors, whose sum is σ = 6031030763520. Its totient is φ = 289408204800.

The previous prime is 1378833524639. The next prime is 1378833524699. The reversal of 1378833524640 is 464253388731.

It is a happy number.

1378833524640 is a `hidden beast` number, since 1 + 3 + 7 + 88 + 33 + 524 + 6 + 4 + 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 255 ways as a sum of consecutive naturals, for example, 753048525 + ... + 753050355.

It is an arithmetic number, because the mean of its divisors is an integer number (3926452320).

Almost surely, 2^{1378833524640} is an apocalyptic number.

1378833524640 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 1378833524640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015515381760).

1378833524640 is an abundant number, since it is smaller than the sum of its proper divisors (4652197238880).

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

1378833524640 is a wasteful number, since it uses less digits than its factorization.

1378833524640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1378833524640 in words is "one trillion, three hundred seventy-eight billion, eight hundred thirty-three million, five hundred twenty-four thousand, six hundred forty".