42721130400 has 288 divisors, whose sum is σ = 152215757568. Its totient is φ = 10343116800.

The previous prime is 42721130363. The next prime is 42721130443. The reversal of 42721130400 is 403112724.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891977 + ... + 1914423.

It is an arithmetic number, because the mean of its divisors is an integer number (528526936).

Almost surely, 2^42721130400 is an apocalyptic number.

42721130400 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 42721130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76107878784).

42721130400 is an abundant number, since it is smaller than the sum of its proper divisors (109494627168).

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

42721130400 is a wasteful number, since it uses less digits than its factorization.

42721130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22544 (or 22531 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The spelling of 42721130400 in words is "forty-two billion, seven hundred twenty-one million, one hundred thirty thousand, four hundred".