1378434570240 has 1536 divisors, whose sum is σ = 5745841920000. Its totient is φ = 279996530688.

The previous prime is 1378434570203. The next prime is 1378434570263. The reversal of 1378434570240 is 420754348731.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1378434570240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3972433747 + ... + 3972434093.

It is an arithmetic number, because the mean of its divisors is an integer number (3740782500).

Almost surely, 2^{1378434570240} is an apocalyptic number.

1378434570240 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 1378434570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872920960000).

1378434570240 is an abundant number, since it is smaller than the sum of its proper divisors (4367407349760).

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

1378434570240 is a wasteful number, since it uses less digits than its factorization.

1378434570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 1378434570240 in words is "one trillion, three hundred seventy-eight billion, four hundred thirty-four million, five hundred seventy thousand, two hundred forty".