1378434932160 has 896 divisors, whose sum is σ = 5356517160960. Its totient is φ = 295723008000.

The previous prime is 1378434932129. The next prime is 1378434932191. The reversal of 1378434932160 is 612394348731.

It is an interprime number because it is at equal distance from previous prime (1378434932129) and next prime (1378434932191).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 601147974 + ... + 601150266.

It is an arithmetic number, because the mean of its divisors is an integer number (5978255760).

Almost surely, 2^{1378434932160} is an apocalyptic number.

1378434932160 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 1378434932160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678258580480).

1378434932160 is an abundant number, since it is smaller than the sum of its proper divisors (3978082228800).

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

1378434932160 is a wasteful number, since it uses less digits than its factorization.

1378434932160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 1378434932160 in words is "one trillion, three hundred seventy-eight billion, four hundred thirty-four million, nine hundred thirty-two thousand, one hundred sixty".