42413751400 has 96 divisors (see below), whose sum is σ = 101168390880. Its totient is φ = 16530912000.

The previous prime is 42413751361. The next prime is 42413751407. The reversal of 42413751400 is 415731424.

It is not an unprimeable number, because it can be changed into a prime (42413751407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1289155 + ... + 1321645.

It is an arithmetic number, because the mean of its divisors is an integer number (1053837405).

Almost surely, 2^42413751400 is an apocalyptic number.

42413751400 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 42413751400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50584195440).

42413751400 is an abundant number, since it is smaller than the sum of its proper divisors (58754639480).

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

42413751400 is a wasteful number, since it uses less digits than its factorization.

42413751400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32675 (or 32666 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The spelling of 42413751400 in words is "forty-two billion, four hundred thirteen million, seven hundred fifty-one thousand, four hundred".