400848260064 has 144 divisors (see below), whose sum is σ = 1228441627728. Its totient is φ = 114114244608.

The previous prime is 400848260063. The next prime is 400848260069. The reversal of 400848260064 is 460062848004.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 400848259998 and 400848260025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400848260063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1149192 + ... + 1456824.

It is an arithmetic number, because the mean of its divisors is an integer number (8530844637).

Almost surely, 2^400848260064 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 400848260064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614220813864).

400848260064 is an abundant number, since it is smaller than the sum of its proper divisors (827593367664).

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

400848260064 is a wasteful number, since it uses less digits than its factorization.

400848260064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307937 (or 307922 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 400848260064 in words is "four hundred billion, eight hundred forty-eight million, two hundred sixty thousand, sixty-four".