13750041600 has 660 divisors, whose sum is σ = 53748079000. Its totient is φ = 3463741440.

The previous prime is 13750041593. The next prime is 13750041623. The reversal of 13750041600 is 614005731.

13750041600 is a `hidden beast` number, since 1 + 3 + 7 + 50 + 0 + 4 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39398226 + ... + 39398574.

Almost surely, 2^13750041600 is an apocalyptic number.

13750041600 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 13750041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26874039500).

13750041600 is an abundant number, since it is smaller than the sum of its proper divisors (39998037400).

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

13750041600 is a wasteful number, since it uses less digits than its factorization.

13750041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 13750041600 in words is "thirteen billion, seven hundred fifty million, forty-one thousand, six hundred".