13402177920 has 512 divisors, whose sum is σ = 49633689600. Its totient is φ = 3413975040.

The previous prime is 13402177903. The next prime is 13402177927. The reversal of 13402177920 is 2977120431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13402177927) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 68031262 + ... + 68031458.

It is an arithmetic number, because the mean of its divisors is an integer number (96940800).

Almost surely, 2^13402177920 is an apocalyptic number.

13402177920 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 13402177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24816844800).

13402177920 is an abundant number, since it is smaller than the sum of its proper divisors (36231511680).

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

13402177920 is a wasteful number, since it uses less digits than its factorization.

13402177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13402177920 in words is "thirteen billion, four hundred two million, one hundred seventy-seven thousand, nine hundred twenty".