14021742000 has 480 divisors, whose sum is σ = 54049844160. Its totient is φ = 3115929600.

The previous prime is 14021741941. The next prime is 14021742013. The reversal of 14021742000 is 24712041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10877356 + ... + 10878644.

It is an arithmetic number, because the mean of its divisors is an integer number (112603842).

Almost surely, 2^14021742000 is an apocalyptic number.

14021742000 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 14021742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27024922080).

14021742000 is an abundant number, since it is smaller than the sum of its proper divisors (40028102160).

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

14021742000 is a wasteful number, since it uses less digits than its factorization.

14021742000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The spelling of 14021742000 in words is "fourteen billion, twenty-one million, seven hundred forty-two thousand".