867608141400 has 2304 divisors, whose sum is σ = 4133735424000. Its totient is φ = 160538112000.

The previous prime is 867608141381. The next prime is 867608141441. The reversal of 867608141400 is 4141806768.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2736934042 + ... + 2736934358.

It is an arithmetic number, because the mean of its divisors is an integer number (1794156000).

Almost surely, 2^867608141400 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 867608141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066867712000).

867608141400 is an abundant number, since it is smaller than the sum of its proper divisors (3266127282600).

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

867608141400 is a wasteful number, since it uses less digits than its factorization.

867608141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 867608141400 in words is "eight hundred sixty-seven billion, six hundred eight million, one hundred forty-one thousand, four hundred".