13428155543040 has 480 divisors, whose sum is σ = 54863627360256. Its totient is φ = 2970282147840.

The previous prime is 13428155543029. The next prime is 13428155543087. The reversal of 13428155543040 is 4034555182431.

13428155543040 is a `hidden beast` number, since 1 + 3 + 4 + 28 + 1 + 5 + 554 + 30 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×13428155543040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3656779 + ... + 6342581.

Almost surely, 2^{13428155543040} is an apocalyptic number.

13428155543040 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 13428155543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27431813680128).

13428155543040 is an abundant number, since it is smaller than the sum of its proper divisors (41435471817216).

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

13428155543040 is a wasteful number, since it uses less digits than its factorization.

13428155543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685870 (or 2685851 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 13428155543040 in words is "thirteen trillion, four hundred twenty-eight billion, one hundred fifty-five million, five hundred forty-three thousand, forty".