400244266006416 has 480 divisors, whose sum is σ = 1243504758379520. Its totient is φ = 119378487730176.

The previous prime is 400244266006397. The next prime is 400244266006433. The reversal of 400244266006416 is 614600662442004.

400244266006416 is a `hidden beast` number, since 4 + 0 + 0 + 2 + 4 + 4 + 26 + 600 + 6 + 4 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23314738665 + ... + 23314755831.

Almost surely, 2^{400244266006416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400244266006416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621752379189760).

400244266006416 is an abundant number, since it is smaller than the sum of its proper divisors (843260492373104).

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

400244266006416 is a wasteful number, since it uses less digits than its factorization.

400244266006416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18463 (or 18454 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 400244266006416 in words is "four hundred trillion, two hundred forty-four billion, two hundred sixty-six million, six thousand, four hundred sixteen".