42331341410400 has 576 divisors, whose sum is σ = 165773547813888. Its totient is φ = 9173138472960.

The previous prime is 42331341410383. The next prime is 42331341410473. The reversal of 42331341410400 is 401414313324.

It is a super-2 number, since 2×42331341410400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43178452 + ... + 44147948.

It is an arithmetic number, because the mean of its divisors is an integer number (287801298288).

Almost surely, 2^{42331341410400} is an apocalyptic number.

42331341410400 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 42331341410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82886773906944).

42331341410400 is an abundant number, since it is smaller than the sum of its proper divisors (123442206403488).

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

42331341410400 is a wasteful number, since it uses less digits than its factorization.

42331341410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969663 (or 969650 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 42331341410400 its reverse (401414313324), we get a palindrome (42732755723724).

The spelling of 42331341410400 in words is "forty-two trillion, three hundred thirty-one billion, three hundred forty-one million, four hundred ten thousand, four hundred".