239949087840 has 1728 divisors, whose sum is σ = 1118061584640. Its totient is φ = 46193172480.

The previous prime is 239949087839. The next prime is 239949087869. The reversal of 239949087840 is 48780949932.

239949087840 is a `hidden beast` number, since 2 + 39 + 9 + 490 + 8 + 78 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 287 ways as a sum of consecutive naturals, for example, 781592967 + ... + 781593273.

It is an arithmetic number, because the mean of its divisors is an integer number (647026380).

Almost surely, 2^239949087840 is an apocalyptic number.

239949087840 is a gapful number since it is divisible by the number (20) 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 239949087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559030792320).

239949087840 is an abundant number, since it is smaller than the sum of its proper divisors (878112496800).

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

239949087840 is a wasteful number, since it uses less digits than its factorization.

239949087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 239949087840 in words is "two hundred thirty-nine billion, nine hundred forty-nine million, eighty-seven thousand, eight hundred forty".