16007385240 has 960 divisors, whose sum is σ = 71375673600. Its totient is φ = 3140881920.

The previous prime is 16007385227. The next prime is 16007385257. The reversal of 16007385240 is 4258370061.

16007385240 is a `hidden beast` number, since 1 + 60 + 0 + 73 + 8 + 524 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16007385195 and 16007385204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 52141167 + ... + 52141473.

It is an arithmetic number, because the mean of its divisors is an integer number (74349660).

Almost surely, 2^16007385240 is an apocalyptic number.

16007385240 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 16007385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35687836800).

16007385240 is an abundant number, since it is smaller than the sum of its proper divisors (55368288360).

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

16007385240 is a wasteful number, since it uses less digits than its factorization.

16007385240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 16007385240 in words is "sixteen billion, seven million, three hundred eighty-five thousand, two hundred forty".