400774760064 has 1344 divisors, whose sum is σ = 1506826938240. Its totient is φ = 105533632512.

The previous prime is 400774760063. The next prime is 400774760083. The reversal of 400774760064 is 460067477004.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×400774760064³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (400774760063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 3891017037 + ... + 3891017139.

Almost surely, 2^400774760064 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 400774760064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753413469120).

400774760064 is an abundant number, since it is smaller than the sum of its proper divisors (1106052178176).

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

400774760064 is a wasteful number, since it uses less digits than its factorization.

400774760064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 400774760064 in words is "four hundred billion, seven hundred seventy-four million, seven hundred sixty thousand, sixty-four".