42896054792800 has 288 divisors, whose sum is σ = 120927690132480. Its totient is φ = 14710431590400.

The previous prime is 42896054792797. The next prime is 42896054792803. The reversal of 42896054792800 is 829745069824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42896054792797) and next prime (42896054792803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42896054792803) 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, 9019089 + ... + 12928111.

It is an arithmetic number, because the mean of its divisors is an integer number (419887812960).

Almost surely, 2^{42896054792800} is an apocalyptic number.

42896054792800 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 42896054792800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60463845066240).

42896054792800 is an abundant number, since it is smaller than the sum of its proper divisors (78031635339680).

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

42896054792800 is a wasteful number, since it uses less digits than its factorization.

42896054792800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909126 (or 3909113 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 64.

The spelling of 42896054792800 in words is "forty-two trillion, eight hundred ninety-six billion, fifty-four million, seven hundred ninety-two thousand, eight hundred".