400073679360 has 960 divisors, whose sum is σ = 1550576649600. Its totient is φ = 97502330880.

The previous prime is 400073679349. The next prime is 400073679361. The reversal of 400073679360 is 63976370004.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (400073679361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1262061922 + ... + 1262062238.

It is an arithmetic number, because the mean of its divisors is an integer number (1615184010).

Almost surely, 2^400073679360 is an apocalyptic number.

400073679360 is a gapful number since it is divisible by the number (40) 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 400073679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775288324800).

400073679360 is an abundant number, since it is smaller than the sum of its proper divisors (1150502970240).

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

400073679360 is a wasteful number, since it uses less digits than its factorization.

400073679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 400073679360 in words is "four hundred billion, seventy-three million, six hundred seventy-nine thousand, three hundred sixty".