13973004021900 has 288 divisors, whose sum is σ = 50444896320000. Its totient is φ = 2901150720000.

The previous prime is 13973004021857. The next prime is 13973004021923. The reversal of 13973004021900 is 912040037931.

It is a super-2 number, since 2×13973004021900² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28609750 + ... + 29094050.

It is an arithmetic number, because the mean of its divisors is an integer number (175155890000).

Almost surely, 2^{13973004021900} is an apocalyptic number.

13973004021900 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 13973004021900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222448160000).

13973004021900 is an abundant number, since it is smaller than the sum of its proper divisors (36471892298100).

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

13973004021900 is a wasteful number, since it uses less digits than its factorization.

13973004021900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485585 (or 485578 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 13973004021900 in words is "thirteen trillion, nine hundred seventy-three billion, four million, twenty-one thousand, nine hundred".