39442211640 has 384 divisors, whose sum is σ = 142389374400. Its totient is φ = 9405849600.

The previous prime is 39442211639. The next prime is 39442211651. The reversal of 39442211640 is 4611224493.

39442211640 is a `hidden beast` number, since 3 + 9 + 4 + 4 + 2 + 2 + 1 + 1 + 640 = 666.

It is a super-3 number, since 3×39442211640³ (a number of 33 digits) contains 333 as substring.

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 = 39442211595 and 39442211604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65627340 + ... + 65627940.

Almost surely, 2^39442211640 is an apocalyptic number.

39442211640 is a gapful number since it is divisible by the number (30) 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 39442211640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71194687200).

39442211640 is an abundant number, since it is smaller than the sum of its proper divisors (102947162760).

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

39442211640 is a wasteful number, since it uses less digits than its factorization.

39442211640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 39442211640 in words is "thirty-nine billion, four hundred forty-two million, two hundred eleven thousand, six hundred forty".