13378129071840 has 384 divisors, whose sum is σ = 51116028324480. Its totient is φ = 3247966273536.

The previous prime is 13378129071823. The next prime is 13378129071841. The reversal of 13378129071840 is 4817092187331.

13378129071840 is a `hidden beast` number, since 1 + 3 + 378 + 1 + 2 + 90 + 7 + 184 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13378129071841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2468074 + ... + 5731286.

It is an arithmetic number, because the mean of its divisors is an integer number (133114657095).

Almost surely, 2^{13378129071840} is an apocalyptic number.

13378129071840 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 13378129071840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25558014162240).

13378129071840 is an abundant number, since it is smaller than the sum of its proper divisors (37737899252640).

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

13378129071840 is a wasteful number, since it uses less digits than its factorization.

13378129071840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263323 (or 3263309 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 13378129071840 in words is "thirteen trillion, three hundred seventy-eight billion, one hundred twenty-nine million, seventy-one thousand, eight hundred forty".