399961404440136 has 192 divisors, whose sum is σ = 1350609529276800. Its totient is φ = 103879117440000.

The previous prime is 399961404440119. The next prime is 399961404440153. The reversal of 399961404440136 is 631044404169993.

399961404440136 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 614 + 0 + 4 + 4 + 4 + 0 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (399961404440119) and next prime (399961404440153).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80578386 + ... + 85397886.

It is an arithmetic number, because the mean of its divisors is an integer number (7034424631650).

Almost surely, 2^{399961404440136} is an apocalyptic number.

399961404440136 is a gapful number since it is divisible by the number (36) 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 399961404440136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675304764638400).

399961404440136 is an abundant number, since it is smaller than the sum of its proper divisors (950648124836664).

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

399961404440136 is a wasteful number, since it uses less digits than its factorization.

399961404440136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834500 (or 4834493 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 399961404440136 in words is "three hundred ninety-nine trillion, nine hundred sixty-one billion, four hundred four million, four hundred forty thousand, one hundred thirty-six".