42855014400 has 672 divisors, whose sum is σ = 164112049728. Its totient is φ = 9751756800.

The previous prime is 42855014333. The next prime is 42855014401. The reversal of 42855014400 is 441055824.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42855014401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114892614 + ... + 114892986.

Almost surely, 2^42855014400 is an apocalyptic number.

42855014400 is a gapful number since it is divisible by the number (40) 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 42855014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82056024864).

42855014400 is an abundant number, since it is smaller than the sum of its proper divisors (121257035328).

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

42855014400 is a wasteful number, since it uses less digits than its factorization.

42855014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The spelling of 42855014400 in words is "forty-two billion, eight hundred fifty-five million, fourteen thousand, four hundred".