139916211840 has 640 divisors, whose sum is σ = 520378214400. Its totient is φ = 35930345472.

The previous prime is 139916211767. The next prime is 139916211863. The reversal of 139916211840 is 48112619931.

139916211840 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 1 + 621 + 18 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×139916211840³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 365316289 + ... + 365316671.

It is an arithmetic number, because the mean of its divisors is an integer number (813090960).

Almost surely, 2^139916211840 is an apocalyptic number.

139916211840 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 139916211840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260189107200).

139916211840 is an abundant number, since it is smaller than the sum of its proper divisors (380462002560).

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

139916211840 is an frugal number, since it uses more digits than its factorization.

139916211840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 139916211840 in words is "one hundred thirty-nine billion, nine hundred sixteen million, two hundred eleven thousand, eight hundred forty".