854293440000 has 2400 divisors, whose sum is σ = 3917245280256. Its totient is φ = 162570240000.

The previous prime is 854293439977. The next prime is 854293440061. The reversal of 854293440000 is 44392458.

854293440000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6726719937 + ... + 6726720063.

Almost surely, 2^854293440000 is an apocalyptic number.

854293440000 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 854293440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958622640128).

854293440000 is an abundant number, since it is smaller than the sum of its proper divisors (3062951840256).

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

854293440000 is a wasteful number, since it uses less digits than its factorization.

854293440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 854293440000 in words is "eight hundred fifty-four billion, two hundred ninety-three million, four hundred forty thousand".