867249361440 has 2880 divisors, whose sum is σ = 4212184394880. Its totient is φ = 165542952960.

The previous prime is 867249361403. The next prime is 867249361453. The reversal of 867249361440 is 44163942768.

867249361440 is a `hidden beast` number, since 8 + 6 + 7 + 2 + 493 + 6 + 144 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 7956416106 + ... + 7956416214.

It is an arithmetic number, because the mean of its divisors is an integer number (1462564026).

Almost surely, 2^867249361440 is an apocalyptic number.

867249361440 is a gapful number since it is divisible by the number (80) 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 867249361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106092197440).

867249361440 is an abundant number, since it is smaller than the sum of its proper divisors (3344935033440).

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

867249361440 is a wasteful number, since it uses less digits than its factorization.

867249361440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 867249361440 in words is "eight hundred sixty-seven billion, two hundred forty-nine million, three hundred sixty-one thousand, four hundred forty".