1378641432320 has 144 divisors (see below), whose sum is σ = 3447461025792. Its totient is φ = 527234273280.

The previous prime is 1378641432319. The next prime is 1378641432347. The reversal of 1378641432320 is 232341468731.

It is a super-2 number, since 2×1378641432320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70970129 + ... + 70989551.

It is an arithmetic number, because the mean of its divisors is an integer number (23940701568).

Almost surely, 2^{1378641432320} is an apocalyptic number.

1378641432320 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 1378641432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723730512896).

1378641432320 is an abundant number, since it is smaller than the sum of its proper divisors (2068819593472).

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

1378641432320 is a wasteful number, since it uses less digits than its factorization.

1378641432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21878 (or 21864 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 44.

The spelling of 1378641432320 in words is "one trillion, three hundred seventy-eight billion, six hundred forty-one million, four hundred thirty-two thousand, three hundred twenty".