42819915600 has 1440 divisors, whose sum is σ = 198938378240. Its totient is φ = 8553600000.

The previous prime is 42819915563. The next prime is 42819915623. The reversal of 42819915600 is 651991824.

42819915600 is a `hidden beast` number, since 4 + 2 + 81 + 9 + 9 + 1 + 560 + 0 = 666.

It is a super-2 number, since 2×42819915600² (a number of 22 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 283575525 + ... + 283575675.

Almost surely, 2^42819915600 is an apocalyptic number.

42819915600 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 42819915600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99469189120).

42819915600 is an abundant number, since it is smaller than the sum of its proper divisors (156118462640).

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

42819915600 is a wasteful number, since it uses less digits than its factorization.

42819915600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 42819915600 in words is "forty-two billion, eight hundred nineteen million, nine hundred fifteen thousand, six hundred".