402689985729408 has 1536 divisors, whose sum is σ = 1393296218496000. Its totient is φ = 113494492790784.

The previous prime is 402689985729397. The next prime is 402689985729431. The reversal of 402689985729408 is 804927589986204.

402689985729408 is a `hidden beast` number, since 4 + 0 + 2 + 68 + 9 + 9 + 85 + 72 + 9 + 408 = 666.

It is a super-3 number, since 3×402689985729408³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 162571652266 + ... + 162571654742.

It is an arithmetic number, because the mean of its divisors is an integer number (907093892250).

Almost surely, 2^{402689985729408} is an apocalyptic number.

402689985729408 is a gapful number since it is divisible by the number (48) 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 402689985729408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696648109248000).

402689985729408 is an abundant number, since it is smaller than the sum of its proper divisors (990606232766592).

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

402689985729408 is a wasteful number, since it uses less digits than its factorization.

402689985729408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2721 (or 2660 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 81.

The spelling of 402689985729408 in words is "four hundred two trillion, six hundred eighty-nine billion, nine hundred eighty-five million, seven hundred twenty-nine thousand, four hundred eight".