851454253440 has 3072 divisors, whose sum is σ = 4082934988800. Its totient is φ = 163393044480.

The previous prime is 851454253369. The next prime is 851454253483. The reversal of 851454253440 is 44352454158.

851454253440 is a `hidden beast` number, since 8 + 5 + 14 + 542 + 53 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 23012277102 + ... + 23012277138.

It is an arithmetic number, because the mean of its divisors is an integer number (1329080400).

Almost surely, 2^851454253440 is an apocalyptic number.

851454253440 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 851454253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041467494400).

851454253440 is an abundant number, since it is smaller than the sum of its proper divisors (3231480735360).

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

851454253440 is a wasteful number, since it uses less digits than its factorization.

851454253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 851454253440 in words is "eight hundred fifty-one billion, four hundred fifty-four million, two hundred fifty-three thousand, four hundred forty".