13942041600 has 132 divisors (see below), whose sum is σ = 46079427464. Its totient is φ = 3717857280.

The previous prime is 13942041541. The next prime is 13942041613. The reversal of 13942041600 is 614024931.

It is a super-2 number, since 2×13942041600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 13969 + ... + 167568.

Almost surely, 2^13942041600 is an apocalyptic number.

13942041600 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 13942041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23039713732).

13942041600 is an abundant number, since it is smaller than the sum of its proper divisors (32137385864).

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

13942041600 is a wasteful number, since it uses less digits than its factorization.

13942041600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181570 (or 181547 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 13942041600 in words is "thirteen billion, nine hundred forty-two million, forty-one thousand, six hundred".