400714501068 has 216 divisors, whose sum is σ = 1200020640000. Its totient is φ = 110439806400.

The previous prime is 400714501049. The next prime is 400714501079. The reversal of 400714501068 is 860105417004.

It is a happy number.

400714501068 is a `hidden beast` number, since 400 + 7 + 145 + 0 + 106 + 8 = 666.

It is a super-2 number, since 2×400714501068² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80156433 + ... + 80161431.

Almost surely, 2^400714501068 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 400714501068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600010320000).

400714501068 is an abundant number, since it is smaller than the sum of its proper divisors (799306138932).

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

400714501068 is a wasteful number, since it uses less digits than its factorization.

400714501068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5409 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 400714501068 in words is "four hundred billion, seven hundred fourteen million, five hundred one thousand, sixty-eight".