42110254400 has 168 divisors, whose sum is σ = 105441048960. Its totient is φ = 16549539840.

The previous prime is 42110254391. The next prime is 42110254409. The reversal of 42110254400 is 445201124.

It is an interprime number because it is at equal distance from previous prime (42110254391) and next prime (42110254409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42110254409) 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, 40529081 + ... + 40530119.

Almost surely, 2^42110254400 is an apocalyptic number.

42110254400 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 42110254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52720524480).

42110254400 is an abundant number, since it is smaller than the sum of its proper divisors (63330794560).

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

42110254400 is a wasteful number, since it uses less digits than its factorization.

42110254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 42110254400 its reverse (445201124), we get a palindrome (42555455524).

The spelling of 42110254400 in words is "forty-two billion, one hundred ten million, two hundred fifty-four thousand, four hundred".