85034467440 has 560 divisors, whose sum is σ = 324805148640. Its totient is φ = 20565964800.

The previous prime is 85034467439. The next prime is 85034467451. The reversal of 85034467440 is 4476443058.

85034467440 is a `hidden beast` number, since 8 + 503 + 44 + 67 + 4 + 40 = 666.

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 111 ways as a sum of consecutive naturals, for example, 44730490 + ... + 44732390.

It is an arithmetic number, because the mean of its divisors is an integer number (580009194).

Almost surely, 2^85034467440 is an apocalyptic number.

85034467440 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 85034467440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162402574320).

85034467440 is an abundant number, since it is smaller than the sum of its proper divisors (239770681200).

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

85034467440 is a wasteful number, since it uses less digits than its factorization.

85034467440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1983 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 85034467440 in words is "eighty-five billion, thirty-four million, four hundred sixty-seven thousand, four hundred forty".