13942628000 has 192 divisors, whose sum is σ = 39264196608. Its totient is φ = 4766515200.

The previous prime is 13942627987. The next prime is 13942628017. The reversal of 13942628000 is 82624931.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16155569 + ... + 16156431.

It is an arithmetic number, because the mean of its divisors is an integer number (204501024).

Almost surely, 2^13942628000 is an apocalyptic number.

13942628000 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 13942628000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19632098304).

13942628000 is an abundant number, since it is smaller than the sum of its proper divisors (25321568608).

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

13942628000 is an equidigital number, since it uses as much as digits as its factorization.

13942628000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 13942628000 in words is "thirteen billion, nine hundred forty-two million, six hundred twenty-eight thousand".