42719020800 has 432 divisors, whose sum is σ = 146872682880. Its totient is φ = 10925752320.

The previous prime is 42719020793. The next prime is 42719020829. The reversal of 42719020800 is 802091724.

It is a happy number.

It is a super-2 number, since 2×42719020800² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48709962 + ... + 48710838.

Almost surely, 2^42719020800 is an apocalyptic number.

42719020800 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 42719020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73436341440).

42719020800 is an abundant number, since it is smaller than the sum of its proper divisors (104153662080).

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

42719020800 is a wasteful number, since it uses less digits than its factorization.

42719020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 42719020800 in words is "forty-two billion, seven hundred nineteen million, twenty thousand, eight hundred".