13429288149120 has 2048 divisors, whose sum is σ = 53367496704000. Its totient is φ = 3179475763200.

The previous prime is 13429288149107. The next prime is 13429288149131. The reversal of 13429288149120 is 2194188292431.

13429288149120 is a `hidden beast` number, since 1 + 3 + 42 + 92 + 8 + 8 + 1 + 491 + 20 = 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, 40571867355 + ... + 40571867685.

It is an arithmetic number, because the mean of its divisors is an integer number (26058348000).

Almost surely, 2^{13429288149120} is an apocalyptic number.

13429288149120 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 13429288149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26683748352000).

13429288149120 is an abundant number, since it is smaller than the sum of its proper divisors (39938208554880).

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

13429288149120 is a wasteful number, since it uses less digits than its factorization.

13429288149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 13429288149120 in words is "thirteen trillion, four hundred twenty-nine billion, two hundred eighty-eight million, one hundred forty-nine thousand, one hundred twenty".